A345361 Numbers that are not palindromes even after removing trailing zeros and are divisible by their reverses.

510, 540, 810, 2100, 4200, 5100, 5200, 5400, 5610, 5700, 5940, 6300, 8100, 8400, 8712, 8910, 9801, 21000, 23100, 27000, 42000, 46200, 51000, 51510, 52000, 52200, 52800, 54000, 54540, 56100, 56610, 57000, 57200, 59400, 59940, 63000, 65340, 69300, 81000, 81810, 84000, 87120

Offset: 1

Author

Tanya Khovanova, Jun 16 2021

Keywords

• nonn
• base

Comments

Palindromes with or without trailing zeros are trivially divisible their reverses.

If k is in the sequence then 10*k is in the sequence. - David A. Corneth, Jun 16 2021

Examples

			510 is divisible by its reverse 15. Thus, 510 is in this sequence.
		

Crossrefs

Cf. A002113, A004086, A169824.

Programs

Python

def pal(s): return s == s[::-1]
def rmz(s): return s.strip('0')
def ok(n): s = str(n); return not (pal(s) or pal(rmz(s)) or n%int(s[::-1]))
print(list(filter(ok, range(82000)))) # Michael S. Branicky, Jun 16 2021