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100 \ 1+ 11^{11} +111^{111} +1111^{1111} +...+1111111111^{1111111111}

Source: Mexican Mathematical Olympiad 1992 OMM P4

July 29, 2018
number theorydivisor

Problem Statement

Show that 1+1111+111111+11111111+...+111111111111111111111 + 11^{11} + 111^{111} + 1111^{1111} +...+ 1111111111^{1111111111} is divisible by 100100.
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