SOLUTION: Find the sum of the digits of the result of 33333333334 to the 2nd power

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Question 504798: Find the sum of the digits of the result of 33333333334 to the 2nd power
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
That number is equivalent to

, or

, or

(100...00400..004)/9. We can rewrite the fraction as



(note that we have to account for the fractional part of the number by adding 1).

Hence, this is simply a 24-digit number consisting of twelve 1's, eleven 5's, and one 6. The digit sum is 12(1) + 11(5) + 6 = 73.