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Solve 2001*(sum of the digits of m) = m

Source: XII Cono Sur Mathematical Olympiad (2001)

July 28, 2011
number theory unsolvednumber theory

Problem Statement

Find all positive integers mm for which 2001ā‹…S(m)=m2001\cdot S (m) = m where S(m)S(m) denotes the sum of the digits of mm.
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