A216995 Multiples of 11 whose digit sum is a multiple of 11.

209, 308, 407, 506, 605, 704, 803, 902, 2090, 2299, 2398, 2497, 2596, 2695, 2794, 2893, 2992, 3080, 3289, 3388, 3487, 3586, 3685, 3784, 3883, 3982, 4070, 4279, 4378, 4477, 4576, 4675, 4774, 4873, 4972, 5060, 5269, 5368, 5467, 5566, 5665, 5764, 5863, 5962, 6050

Offset: 1

Author

Jon Perry, Sep 22 2012

Keywords

• nonn
• base

Comments

Nothing between 1000 and 2000.

Also, there are no a(n) from 10902 to 12198 (this interval contains 117 multiples of 11). [Bruno Berselli, Oct 26 2012]

Examples

			3487 = 11*317 and 3+4+8+7 = 22 = 11*2.
		

Links

• Bruno Berselli, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A008593 (multiples of 11), A166311 (digit sum multiple of 11).

Cf. A216994, A216996, A216997, A216998, A217009.

Programs

JavaScript

function sumarray(arr) {
t=0;
for (i=0;i
				

Mathematica

Select[11*Range[1000], Mod[Total[IntegerDigits[#]], 11] == 0 &] (* T. D. Noe, Sep 24 2012 *)

Python

def sd(n): return sum(map(int, str(n)))
def ok(n): return n%11 == 0 and sd(n)%11 == 0
print(list(filter(ok, range(1, 6051)))) # Michael S. Branicky, Jul 11 2021