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AoPS Wiki talk:Problem of the Day/June 8, 2011

Problem

AoPSWiki:Problem of the Day/June 8, 2011

Solution

$121121$ can be divided into $121\times1001$

$121=11^2$

$1001=7\times11\times13$

$121121=7\times\111^3\times13$ (Error compiling LaTeX. Unknown error_msg)

$(7+1)(11^3+11^2+11+1)(13+1)$ gives the sum of the factors (expand it and see). Thus, the answer is $\boxed{163968}$.

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