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50 - Digit Number (Posted on 2003-11-15) Difficulty: 3 of 5
A number of 50 digits has all its digits equal to 1 except the 26th digit. If the number is divisible by 13, then find the digit in the 26th place.

See The Solution Submitted by Ravi Raja    
Rating: 3.0000 (7 votes)

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re: a little more straightforward | Comment 6 of 43 |
(In reply to a little more straightforward by Eric)

If you take out the first and last 24 1s, you'd be left with 1? with 24 zeros afterwards. I suppose that means 10^24 is divisible by 13. Yes, it is...
  Posted by Tristan on 2003-11-16 20:52:59

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