A triangle number is the sum of the first positive integers. For example, is a triangle number because . A repdigit number is one where all its digits are the same. For example, is a repdigit number. There is just one -digit triangular repdigit number. Find the sum of the digits that make up this number.
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A three-digit repdigit is a multiple of 111, so it is a multiple of 37 and 3.
2 3 6 × 3 7 = 6 6 6 , so its digit sum is 18.