Think small

What is the smallest (positive) prime number that divides

\[ 1 + 12 + 123 + 1234 + 12345 + 123456\\ + 1234567 + 12345678 + 123456789 + 1234567890? \]

Details and assumptions

There are 10 terms in the expression, and the last number is 1234567890. To ensure that you see the entire equation, scroll till you see the question mark (?).

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