A261700 Numbers with 101 divisors.

1267650600228229401496703205376, 515377520732011331036461129765621272702107522001, 7888609052210118054117285652827862296732064351090230047702789306640625, 3234476509624757991344647769100216810857203198904625400933895331391691459636928060001

Offset: 1

Author

Omar E. Pol, Aug 28 2015

Keywords

• nonn
• easy

Comments

Also, 100th powers of primes.

The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime.

Examples

			a(1) = 2^100, a(2) = 3^100, a(3) = 5^100, a(4) = 7^100.
		

Links

• OEIS Wiki, Index entries for number of divisors

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085.

Programs

PARI

a(n)=prime(n)^100 \\ Charles R Greathouse IV, Jun 19 2016

Formula

a(n) = A000040(n)^(101-1) = A000040(n)^100.

A000005(a(n)) = 101.