Reconstruct the multiplication:
* * * * * * where: O C T O
* * C T O
------------- C T O B
* * * * * * T O
* * * * * * T O B E
--------------- T O B E R
O C T O B E R O B E R
B E R
B E
E R
R
are 11 prime numbers.
Let N be a positive integer with an even number of decimal digits, say abcd...yz.
For how many N does a^b + c^d + ... + y^z? equal zy...dcba, that is, N with its digits reversed? One example is N=52, since 5^2 = 25.
[If 00 occurs, take its value as 1. Do not include any solutions ending with 00.]
I have searched in an extensive English dictionary to find a matching word, describing a possible cooperation between two prominent politicians:
BIDEN+TRUMP= ???
I have found two reasonable answers.
Can you find them (or more)?