Puzzle of the Week #393 - Two Point Oh Eight

52/25 = 2.08 precisely

572/275 = 2.08 too

 

52 and 572 are the only two- and three-digit numbers which, when divided by the reversal of their digits, is exactly equal to 2.08.

 

How many 25-digit numbers are there, that when divided by their reversal become equal to 2.08?

 

This might look like an exercise in coding, but it isn’t. In fact I devised the puzzle purely on paper, and it could be solved as such too.