Reversed Multiples
Computer Science
Level
4
Let the reverse of a positive integer \(n\), denoted \(R(n),\) be the result when the digits of the number are written backwards; for example, \(R(190) = 091,\) or just \(91.\)
Call a positive integer \(n\) brilliant if \[n + R(n)\]
is a multiple of 13. Let \(B\) be the \(10000\)th brilliant number. Compute the last three digits of \(B.\)
by
Michael Tang