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Numbers that when divided by the sum of their digits leave 11 as remainder.
1

%I #14 Feb 13 2021 05:37:59

%S 76,95,187,193,347,368,427,473,475,544,619,661,674,676,725,763,827,

%T 847,851,907,977,980,1129,1189,1195,1229,1246,1286,1339,1355,1363,

%U 1439,1480,1481,1483,1592,1598,1607,1627,1714,1733,1745,1771,1831,1873,1915,1991,1999

%N Numbers that when divided by the sum of their digits leave 11 as remainder.

%H Carole Dubois, <a href="/A341178/b341178.txt">Table of n, a(n) for n = 1..5001</a>

%e a(1) = 76 and 76 is 13*5 with remainder 11;

%e a(2) = 95 and 95 is 14*6 with remainder 11; etc.

%Y Cf. A005349 (Niven numbers: remainder = 0), A209871 (Quasi-Niven numbers: remainder = 1), A341169 to A341182 (remainders = 2 to 15).

%K base,nonn

%O 1,1

%A _Eric Angelini_ and _Carole Dubois_, Feb 06 2021