A082937 Palindromes divisible by each of their digits.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 111, 212, 222, 333, 424, 444, 515, 555, 636, 666, 777, 848, 888, 999, 1111, 1771, 2112, 2222, 2772, 3333, 4224, 4444, 5115, 5555, 5775, 6336, 6666, 7777, 8448, 8888, 9999, 11111, 11711, 13131, 17171

Offset: 1

Author

Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 24 2003

Keywords

• base
• nonn

Examples

			424 is divisible by both 4 and 2.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..300

Crossrefs

Intersection of A002113 (palindromes in base 10) and A034838.

Subsequence of A052382 (zeroless numbers).

Programs

Mathematica

Select[Range[20000],PalindromeQ[#]&&FreeQ[IntegerDigits[#],0]&&Union[Mod[ #,IntegerDigits[ #]]]=={0}&] (* Harvey P. Dale, Feb 08 2024 *)

PARI

isok(n) = {my(d=digits(n)); if ((d == Vecrev(d)) && vecmin(d), d = Set(d); for (i=1, #d, if (n % d[i], return(0));); return (1);); return (0);} \\ Michel Marcus, May 26 2019

Extensions

More terms from Michel Marcus, May 26 2019

Definition clarified by Harvey P. Dale, Feb 08 2024