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2013 PUMaC Number Theory A5/B7

Source:

November 24, 2013

Problem Statement

Define a "digitized number" as a ten-digit number a0a1…a9a_0a_1\ldots a_9 such that for k=0,1,…,9k=0,1,\ldots, 9, aka_k is equal to the number of times the digit kk occurs in the number. Find the sum of all digitized numbers.
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