Divisors of One More than Power of 10/Number of Zero Digits Even/Examples

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Examples of Divisors of One More than Power of 10: Number of Zero Digits Even

\(\ds 11\) \(=\) \(\ds 11\)
\(\ds 1001\) \(=\) \(\ds 11 \times 91\)
\(\ds \) \(=\) \(\ds 7 \times 11 \times 13\)
\(\ds 100 \, 001\) \(=\) \(\ds 11 \times 9091\)
\(\ds 10 \, 000 \, 001\) \(=\) \(\ds 11 \times 909 \, 091\)
\(\ds 1 \, 000 \, 000 \, 001\) \(=\) \(\ds 11 \times 90 \, 909 \, 091\)
\(\ds \) \(=\) \(\ds 7 \times 11 \times 13 \times 19 \times 52 \, 579\)
\(\ds 100 \, 000 \, 000 \, 001\) \(=\) \(\ds 11 \times 9 \, 090 \, 909 \, 091\)
\(\ds \) \(=\) \(\ds 11^2 \times 23 \times 4093 \times 8779\)


Demonstration

   90909091
  x      11
   --------
   90909091
  909090910
-----------
 1000000001

Also see


Sources