A062902 Number and its reversal are both multiples of 12.

0, 48, 84, 216, 252, 276, 408, 420, 444, 468, 480, 612, 636, 672, 696, 804, 828, 840, 864, 888, 2100, 2112, 2124, 2136, 2148, 2160, 2172, 2184, 2196, 2304, 2316, 2328, 2340, 2352, 2364, 2376, 2388, 2508, 2520, 2532, 2544, 2556, 2568, 2580, 2592, 2700, 2712

Offset: 1

Author

Amarnath Murthy, Jul 01 2001

Keywords

• nonn
• base
• easy
• look

Comments

Numbers divisible by 12 with reversal divisible by 4. - Robert Israel, May 04 2025

Examples

			216 and 612 are both multiples of 12.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A062897 (2), A062898 (4), A062899 (6), A062900 (8), A062901 (7), A062903 (13), A062904 (14), A062905 (15), A062906 (17), A062907 (19).

Cf. A004086, A008594.

Programs

ARIBAS

n := 12; stop := 2800; m := 0; while m < stop do rev := int_reverse(m); if rev mod n = 0 then write(m," "); end; inc(m,n); end;

Maple

rev:= proc(n) local L,i;
  L:= convert(n,base,10);
  add(L[-i]*10^(i-1),i=1..nops(L))
end proc:
select(t -> rev(t) mod 12 = 0, [seq(i,i=0..3000,12)]); # Robert Israel, May 04 2025

Extensions

Corrected and extended by Dean Hickerson, Jul 06 2001

Offset changed by Georg Fischer, Sep 08 2022