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A125832
Numbers n which have exactly 14 representations as a product of two palindromes.
2
5426124, 8139186, 20017998, 21999978, 26690664, 26888862, 29333304, 49821684, 73267326, 97689768, 98666568, 146534652, 147999852, 220197978, 271333062, 274019262, 320221902, 403696293, 471535064, 489372884, 516019504, 518221704
OFFSET
1,1
EXAMPLE
26888862 is in the sequence since 26888862 = 1*26888862 = 2*13444431
= 11*2444442 = 22*1222221 = 111*242242 = 121*222222 = 222*121121
= 242*111111 = 1001*26862 = 1221*22022 = 1331*20202 = 2002*13431
= 2442*11011 = 2662*10101.
MATHEMATICA
f[n_]:=f[n]=Length[Select[Divisors[n], #<=n^(1/2)&&FromDigits[ Reverse[IntegerDigits[ # ]]]==#&&FromDigits[Reverse[IntegerDigits [n/# ]]]==n/#&]]; Do[If[f[n]==14, Print[n]], {n, 50000000}]
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Farideh Firoozbakht, Dec 10 2006
EXTENSIONS
a(9)-a(22) from Donovan Johnson, Aug 05 2009
STATUS
approved