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): $10,001$