Kaprekar Number/Examples/1,111,111,111

Example of Kaprekar Number

$1 \, 111 \, 111 \, 111$ is a Kaprekar number:

\(\ds 1 \, 111 \, 111 \, 111^2\) \(=\) \(\ds 1 \, 234 \, 567 \, 900 \, 987 \, 654 \, 321\)
\(\ds 123 \, 456 \, 790 + 0 \, 987 \, 654 \, 321\) \(=\) \(\ds 1 \, 111 \, 111 \, 111\)


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1,111,111,111$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1,111,111,111$
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