A358256 a(n) is the smallest primitive Niven number ending with n zeros.

1, 110, 1300, 17000, 790000, 59900000, 19999999000000, 2999999999999990000000, 4999999999999999999999999999900000000, 899999999999999999999999999999999999999999999999999999999000000000

Offset: 0

Author

Bernard Schott, Nov 05 2022

Keywords

• nonn
• base

Comments

1 is a primitive Niven number, not ending with 0, so a(0)=1.

a(n) is the smallest term of A358255 that ends with n zeros for n > 0.

Examples

			1300 is divisible by 1+3=4, but 13 and 130 are not divisible by 4; 1300 is the smallest such integer ending with two 0's, so a(2) = 1300.
		

Links

• Giovanni Resta, Harshad numbers.

Crossrefs

Cf. A005349, A051885, A358255.

Formula

a(n) = A051885(2^n)*10^n for n > 3. - Rémy Sigrist, Nov 05 2022