1. An integrating counter comprising drive means adapted to be actuated by electric signals from a meter, digit wheel means comprising a predetermined number of digit wheels adapted to be driven by said drive means and including a lowest order digit wheel, first rotating means adapted to be angularly rotated by said drive means, second rotating means adapted to be rotated intermittently, energy storing means comprising a spring connecting said two rotating means and adapted to store the energy of rotation of the first rotating means, sensing means adapted to generate output signals in accord with the degree of angular rotation of each digit wheel, and control means adapted to release the second rotating means and cause the same to rotate instantaneously by the action of the spring when the first rotating means has been rotated through a predetermined angle and means connecting the lowest order digit wheel to the second rotating means for concurrent instantaneous rotation therewith upon the release of said second rotating means.

2. An integrating counter comprising drive means adapted to be actuated by electric signals from a meter, digit wheel means comprising a predetermined number of digit wheels adapted to be driven by said drive means, first rotating means adapted to be angularly rotated by said drive means, second rotating means adapted to be rotated intermittently, energy storing means comprising a spring connecting said two rotating means and adapted to store the energy of rotation of the first rotating means, sensing means adapted to generate output signals in accord with the degree of angular rotation of each digit wheel, and control means adapted to release the second rotating means and cause the same to rotate instantaneously by the action of the spring when the first rotating means has been rotated through a predetermined angle, wherein said drive means adapted to be actuated by electric signals from a meter is a motor adapted to be rotated through a predetermined angle through a change-over switch of the transfer type, said change-over switch of the transfer type is a printed rotary switch comprising a movable contact portion provided in a part rotating with said motor and a printed contact portion provided in a fixed portion, said printed contact portion comprising a common contact and a plurality of contact groups each comprising a number of contacts arranged annularly, the contacts of said contact groups being electrically connected to one another, said movable contact portion comprising a plurality of movable contacts adapted to be alternately brought into engagement with said contacts of said printed contact portion, said movable contacts corresponding to the contact groups each being brought into engagement at end portions with the adjacent contacts of the contact groups of the printed contact portion.

3. An integral counter comprising drive means adapted to be actuated by electrical signals from a meter, digit wheel means comprising a predetermined number of digit wheels adapted to be driven by said drive means, first rotating means adapted to be angularly rotated by said drive means, second rotating means adapted to be rotated intermittently, energy storing means comprising a spring connecting sAid two rotating means and adapted to store the energy of rotation of the first rotating means, sensing means adapted to generate output signals in accord with the degree of angular rotation of each digit wheel, control means adapted to release the second rotating means and to cause the same to rotate instantaneously by the action of the spring when the first rotating means has been rotated through a predetermined angle, a gear train including a worm and a worm wheel and interposed between said drive means and said first rotating means for transmitting the rotation of the drive means to the first rotating means, a cam portion provided in the first rotating means, a control lever adapted to engage said cam portion to be controlled thereby, a cam plate provided in said second rotating means, a plurality of engaging elements provided in said cam plate and adapted to engage said control lever for causing the cam plate to rotate intermittently and to stop rotating, control elements on the periphery of said digit wheels, and a plurality of lever plates adapted to engage cam portions of said cam plate and carrying contact levers engageable with said control elements on the periphery of the digit wheel, said lever plate being pivoted by said cam portions to release the contact levers from engagement with the digit wheels when said second rotating means rotates instantaeously and to bring the contact levers into engagement with said digit wheels when the instantaneous rotation of the second rotating means finishes.

4. An integral counter comprising drive means adapted to be actuated by electric signals from a meter, digit wheel means comprising a predetermined number of digit wheels adapted to be driven by said drive means, first rotating means adapted to be angularly rotated by said drive means, second rotating means adapted to be rotated intermittently, energy storing means comprising a spring connecting said two rotating means and adapted to store the energy of rotation of the first rotating means, sensing means adapted to generate output signals in accord with the degree of angular rotation of each digit wheel, control means adapted to release the second rotating means and to cause the same to rotate instantaneously by the action of the spring when the first rotating means has been rotated through a predetermined angle, wherein said drive means is a motor adapted to be rotated through a predetermined angle through a change-over switch of the transfer type, said change-over switch comprising a printed rotary switch comprising a moveable contact portion provided in a part rotating with said motor and a printed contact portion provided in a fixed portion, said printed contact portion comprising a common contact and a plurality of contact groups each comprising a number of adjacent contacts, the contacts of said contact groups being electrically connected to one another, said moveable contact portion comprising a plurality of moveable contacts adapted to be alternately brought into engagement with said contacts of said printed contact portion, said moveable contacts corresponding to the contact groups each being brought into engagement at end portions with the adjacent contacts of the contact groups of the printed contact portion, wherein said printed contact portion comprises a group of outer contacts arranged in ring shape and electrically connected to one another, a group of inner contacts arranged in ring shape and electrically connected to each other, and an innermost ring-shaped common contact and said moveable contact portion comprises a plurality of moveable contact each adapted to be brought into engagement with the contacts of one of said two groups and said common contacts, the contacts of the outer group extending between the contacts of the inner group and the contacts of the inner group extending between the contacts of the outer group to be disposed over insulating portions of the printed contact portion so that insulating portions disposed between the contacts along the pAths of movement of the moveable contacts along the ring-shaped outer and inner contacts are minimized.

5. A counter comprising drive means actuated by electrical signals from a meter, first rotating means rotated by the drive means, second rotating means, energy storing means connected to said rotating means to store the energy of rotation of the first rotating means for a period corresponding to a predetermined angle of rotation of the first rotating means, control means acting at the end of said period to transfer the stored energy to the second rotating means to cause said second rotating means to instantaneously rotate through a predetermined angle, a plurality of digit wheels and means connecting said second rotating means with at least one of said digit wheels to cause said at least one digit wheel to rotate through a predetermined angle in response to each instantaneous rotation of the second rotating means, each of said digit wheels including a plurality of control elements around its periphery, a plurality of lever plates carrying contact levers engageable with said control elements on the digit wheels, and cam means connecting the second rotating means and the lever plates to release the contact levers from engagement with the digit wheels when said second rotating means rotates instantaneously and to bring the contact levers into engagement with the digit wheels when the instantaneous rotation of the second rotating means stops.