Mock AIME 5 Pre 2005 Problems/Problem 12

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Problem

Let $m = 101^4 + 256$. Find the sum of digits of $m$.

Solution

By the binomial theorem, $101^4 + 256 = 104060401 + 256 = 104060657$, and $s(m) = \boxed{029}$.

See also

Mock AIME 5 Pre 2005 (Problems, Source)
Preceded by
Problem 11
Followed by
Problem 13
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