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A169806 Nonpalindromic numbers k such that k = R(k) + P(k) where R(k) is reversal(k) and P(k) is the product of the digits of k. 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 k that has at least one zero digit also has the property that k = R(k) + P(k), since R(k)=k and P(k)=0.
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
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
Sequence in context: A186217 A237411 A235980 * A203876 A233752 A238382
KEYWORD
base,nonn
AUTHOR
Farideh Firoozbakht, May 23 2010
STATUS
approved

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Last modified June 18 23:32 EDT 2024. Contains 373488 sequences. (Running on oeis4.)