10,001
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Number
$10 \, 001$ (ten thousand and one) is:
- $73 \times 137$
- The $9$th positive integer after $1$, $2$, $7$, $11$, $101$, $111$, $1001$, $2201$ whose cube is palindromic:
- $10 \, 001^3 = 1 \, 000 \, 300 \, 030 \, 001$
- The $15$th palindromic integer after $0$, $1$, $2$, $3$, $11$, $22$, $101$, $111$, $121$, $202$, $212$, $1001$, $1111$, $2002$ whose square is also palindromic integer
- $10 \, 001^2 = 100 \, 020 \, 001$
Also see
- Previous ... Next: Prime Factors of One More than Power of 10
- Previous ... Next: Square of Small-Digit Palindromic Number is Palindromic
- Previous ... Next: Sequence of Integers whose Cube is Palindromic
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $10,001$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $10,001$