Integer which is Multiplied by 9 when moving Last Digit to First/Mistake
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Source Work
1997: David Wells: Curious and Interesting Numbers (2nd ed.):
- The Dictionary
- $10,112,359,550,561,797,752,808,988,764,044,943,820,224,719$
Mistake
- The unique number which, when the last digit, $9$, is moved to the front, is the number multiplied by $9$.
Correction
The number is not actually unique.
Let $N$ be the number given.
Then the positive integers formed by concatenating the decimal representation of $N$ with itself any number of times have the same property:
- $\sqbrk {NN}, \sqbrk {NNN}, \sqbrk {NNNN}, \ldots$
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $10,112,359,550,561,797,752,808,988,764,044,943,820,224,719$