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.

354253, 385863, 398573, 534235, 653936, 676356, 682566, 695276, 853638, 35369253, 35639453, 45469254, 45636454, 45839454, 53369235, 53639435, 54469245, 54636445, 54839445, 55769255, 56814665, 56941765, 59236195

Offset: 1

Author

Farideh Firoozbakht, May 23 2010

Keywords

• base
• nonn

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.

Examples

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

Crossrefs

Cf. A004086, A007954, A178271.

Programs

Mathematica

r[n_] := FromDigits[Reverse[IntegerDigits[n]]]; Do[
If[n > r[n] && n == r[n] + Apply[Times, IntegerDigits[n]],
Print[n]], {n, 59500000}]