A261700 Numbers with 101 divisors.

1267650600228229401496703205376, 515377520732011331036461129765621272702107522001, 7888609052210118054117285652827862296732064351090230047702789306640625, 3234476509624757991344647769100216810857203198904625400933895331391691459636928060001

Offset

1,1

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.

Links

Table of n, a(n) for n=1..4.

OEIS Wiki, Index entries for number of divisors

Formula

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

A000005(a(n)) = 101.

Example

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

Prog

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

Crossrefs

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

Sequence in context: A068214 A144616 A095454 * A194566 A194216 A058446

Adjacent sequences: A261697 A261698 A261699 * A261701 A261702 A261703

Keyword

nonn,easy

Author

Omar E. Pol, Aug 28 2015

Status

approved