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A169806 Nonpalindromic numbers n such that n=R(n)+P(n) where R(n) is reversal(n) and P(n) is the product of the digits of n. 0
354253, 385863, 398573, 534235, 653936, 676356, 682566, 695276, 853638, 35369253, 35639453, 45469254, 45636454, 45839454, 53369235, 53639435, 54469245, 54636445, 54839445, 55769255, 56814665, 56941765, 59236195 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Number of terms below 10^8 is 29.

Obviously each palindromic number with has at least one digit zero has the same property.

All other terms below 10^8 are 59871495, 65814656, 65941756, 95236159, 95871459 and 99429579.

354253 and 1655425561 are the first two prime terms of the sequence.

LINKS

Table of n, a(n) for n=1..23.

EXAMPLE

354253=352453+3*5*4*2*5*3=reversal(354253)+3*5*4*2*5*3, so 354253 is a term.

MATHEMATICA

r[n_] := FromDigits[Reverse[IntegerDigits[n]]]; Do[

If[n > r[n] && n == r[n] + Apply[Times, IntegerDigits[n]],

Print[n]], {n, 59500000}]

CROSSREFS

Cf. A004086, A007954, A178271.

Sequence in context: A186217 A237411 A235980 * A203876 A233752 A238382

Adjacent sequences:  A169803 A169804 A169805 * A169807 A169808 A169809

KEYWORD

base,nonn

AUTHOR

Farideh Firoozbakht, May 23 2010

STATUS

approved

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Last modified April 19 16:52 EDT 2019. Contains 322282 sequences. (Running on oeis4.)