A224252 Nonpalindromic n such that the factorizations of n and its digital reverse differ only for the exponents order.

277816, 618772, 14339143, 34193341, 1125355221, 1225535211, 2613391326, 6231933162, 26157457326, 62375475162, 100504263021, 102407325111, 111523704201, 120362405001, 144326261443, 275603902756, 277816277816, 344162623441, 392739273927, 392875758639

Offset: 1

Author

Giovanni Resta, Apr 02 2013

Keywords

• nonn
• base

Comments

Subset of A110751 and A110819.

Examples

			277816 and its reverse 618772 are in the sequence since 277816 = 2^3*7*11^2*41 and 618772 = 2^2*7^3*11*41 have the same prime divisors and the same exponents (1,1,2,3).
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..34 (terms < 2*10^12)

Crossrefs

Cf. A110751, A110819, A224253.

Programs

Mathematica

Do[fn = FactorInteger@n; fr = FactorInteger@ FromDigits@ Reverse@ IntegerDigits@n; If[fn != fr && First /@ fn == First /@ fr && Sort[Last /@ fn] == Sort[Last /@ fr], Print[n]], {n, 15*10^6}]

Python

from sympy import primefactors, factorint
A224252 = [n for n in range(1,10**6) if n != int(str(n)[::-1]) and primefactors(n) == primefactors(int(str(n)[::-1])) and sorted(factorint(n).values()) == sorted(factorint(int(str(n)[::-1])).values())] # Chai Wah Wu, Aug 21 2014