Sum of sums

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Let S O D ( n ) SOD(n) denote the sum of digits of positive integer n n . For example, S O D ( 139 ) = 1 + 3 + 9 = 13 SOD(139) = 1+3+9=13 . What is the first three digits of i = 1 2013 S O D ( i ) \displaystyle \sum_{i=1}^{2013} SOD(i) ?


The answer is 280.

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