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A343552
Numbers m such that for some number k dividing n, m is formed by inserting a digit 0 between each pair of digits of k.
2
100, 105, 108, 200, 300, 400, 405, 500, 600, 700, 800, 900, 10000, 10101, 10200, 10206, 10500, 10800, 20000, 20202, 20400, 20500, 20805, 30000, 30303, 30600, 40000, 40404, 40500, 40800, 50000, 50505, 60000, 60606, 70000, 70500, 70707, 80000, 80808, 90000
OFFSET
1,1
COMMENTS
If m is a term then so is m*10^(2i), i > 0.
If m is a term then so is m*i, 2 <= i <= 9 as long as no carry occurs in the multiplication.
EXAMPLE
108 is a term because 108/18=6, and so is 1010805 because 1010805/1185=853.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Lars Blomberg, Apr 19 2021
STATUS
approved