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201212200619 has a factor m such that 6 x10^9 <m <6.5 x10^9

Source: 2012 Swedish Mathematical Competition p2

April 30, 2021
number theoryfactor

Problem Statement

The number 201212200619201212200619 has a factor mm such that 6⋅109<m<6.5⋅1096 \cdot 10^9 <m <6.5 \cdot 10^9. Find mm.
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