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last 2 digits of the (11 + 12 + 13 + ... + 2006)^2 (HOMC 2006 J Q1)

Source:

July 23, 2019
number theoryDigits

Problem Statement

What is the last two digits of the number (11+12+13+...+2006)2(11 + 12 + 13 + ... + 2006)^2?