Kaprekar Number/Examples/1,111,111,111
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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): $1,111,111,111$