Consider any 2 binary numbers, e.g.:
10101011 ; 11111101 and their product, say P.
"Reverse" (mirror image) all the digits of the 2 numbers, e.g.:
11010101 ; 10111111
and consider their product, say M.
Is there any simple math relation between P and M ? Can I get M only knowing P ?
PS. Please assume:
The numbers always start and end with 1. The numbers have the same number of digits or, even better, in any case the lengths of those 2 numbers are *known*
(Thank you to user2566092 for asking about possible constraints)
PS. Another interesting condition, suggested by the notes of Steve Kass, might be that P is a semiprime.