There are some ten digit numbers which when reversed and processed in a special way, something like this happens....
e.g. The number 4204234125 in reverse is 5214324024, If we part the digits in the number 4204234125 as 4,20,42,3,41,25 and add them we get the sum which is equal to if we do the same with its reverse number 5214324024, namely 5,21,43,2,40,24, and add these numbers with each other. i.e. 4+20+42+3+41+25 = 5+21+43+2+40+24. Another such ten digit number is 1223343322.
How many such numbers exist? How to find them?
The partition must be like this: 1 digit, 2 digits, 2 digits, 1 digit, 2 digits, 2 digits.