A246337 Numbers n which when expressed in base 16 are palindromes whose digit sum and digit product both divide n.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 273, 69905, 78129, 200979, 17903889, 4581298449, 1172816597265, 1174959919377, 300240008712465, 300240176484625, 370608786444625
Offset: 1
Programs
-
Python
from operator import mul from functools import reduce from gmpy2 import t_mod, digits, mpz A246337 = sorted([mpz(n,16) for n in (digits(x,16)+digits(x,16)[::-1] for x in range(1,16**7)) if not (n.count('0') or t_mod(mpz(n,16), sum((mpz(d,16) for d in n))) or t_mod(mpz(n,16), reduce(mul,(mpz(d,16) for d in n))))] + [mpz(n,16) for n in (digits(x,16)+digits(x,16)[-2::-1] for x in range(16**7)) if not (n.count('0') or t_mod(mpz(n,16), sum((mpz(d,16) for d in n))) or t_mod(mpz(n,16), reduce(mul,(mpz(d,16) for d in n))))])