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The number N = 111...1 consists of 2006 ones. It is exactly divisible by 11. How many digits are there in the quotient N/11

 Sep 10, 2021
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((10^2006 - 1) / 9) / 11==1.01010101 E+2004

 

So, the quotient is: 2006 - 1 ==2005 digits long.

 Sep 10, 2021

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