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131011130401002 = 2339772483246719
BaseRepresentation
bin11101110010011101100111…
…111000111010000011101010
3122011212112121221020200001000
4131302131213320322003222
5114132441243340313002
61142345403223335430
736411145641254265
oct3562354770720352
9564775557220030
10131011130401002
1138820565727135
121283aa025b1576
1358143b17a4507
14244cd8893bcdc
151022d7805b61c
hex772767e3a0ea

131011130401002 has 32 divisors (see below), whose sum is σ = 291433835059200. Its totient is φ = 43625678341824.

The previous prime is 131011130400973. The next prime is 131011130401009. The reversal of 131011130401002 is 200104031110131.

It is a happy number.

131011130401002 is a `hidden beast` number, since 131 + 0 + 1 + 1 + 130 + 401 + 0 + 0 + 2 = 666.

131011130401002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (131011130401009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241570602 + ... + 1241676117.

It is an arithmetic number, because the mean of its divisors is an integer number (9107307345600).

Almost surely, 2131011130401002 is an apocalyptic number.

131011130401002 is an abundant number, since it is smaller than the sum of its proper divisors (160422704658198).

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

131011130401002 is a wasteful number, since it uses less digits than its factorization.

131011130401002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483247707 (or 2483247701 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131011130401002 its reverse (200104031110131), we get a palindrome (331115161511133).

The spelling of 131011130401002 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirty million, four hundred one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 977 1954 2931 5862 8793 17586 26379 52758 2483246719 4966493438 7449740157 14899480314 22349220471 44698440942 67047661413 134095322826 2426132044463 4852264088926 7278396133389 14556792266778 21835188400167 43670376800334 65505565200501 131011130401002