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.

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

Author

Lars Blomberg, Apr 19 2021

Keywords

• nonn
• base

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.

Examples

			108 is a term because 108/18=6, and so is 1010805 because 1010805/1185=853.
		

Crossrefs

Cf. A051022, A285176, A343550, A343551.