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131130111013002 = 23219383421377231
BaseRepresentation
bin11101110100001100011011…
…101011111011000010001010
3122012021220201220021000002100
4131310030123223323002022
5114141413431404404002
61142520201423014230
736422560251626103
oct3564143353730212
9565256656230070
10131130111013002
1138866a71125a32
1212859a88a3a376
1358226937239ca
142454a3472b3aa
151025edd7a111c
hex77431bafb08a

131130111013002 has 24 divisors (see below), whose sum is σ = 299068674240960. Its totient is φ = 41409508740840.

The previous prime is 131130111012973. The next prime is 131130111013049. The reversal of 131130111013002 is 200310111031131.

131130111013002 is a `hidden beast` number, since 1 + 311 + 30 + 11 + 10 + 1 + 300 + 2 = 666.

It is a super-2 number, since 2×1311301110130022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191710688274 + ... + 191710688957.

It is an arithmetic number, because the mean of its divisors is an integer number (12461194760040).

Almost surely, 2131130111013002 is an apocalyptic number.

131130111013002 is an abundant number, since it is smaller than the sum of its proper divisors (167938563227958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131130111013002 is a wasteful number, since it uses less digits than its factorization.

131130111013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383421377258 (or 383421377255 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131130111013002 its reverse (200310111031131), we get a palindrome (331440222044133).

The spelling of 131130111013002 in words is "one hundred thirty-one trillion, one hundred thirty billion, one hundred eleven million, thirteen thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 383421377231 766842754462 1150264131693 2300528263386 3450792395079 6901584790158 7285006167389 14570012334778 21855018502167 43710037004334 65565055506501 131130111013002