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131313112303302 = 23312892795367489
BaseRepresentation
bin11101110110110110110111…
…011010011100011011000110
3122012221102002120110202122000
4131312312313122130123012
5114202413223222201202
61143140224435450130
736442026223134516
oct3566666732343306
9565842076422560
10131313112303302
113892763a629a16
121288943b756946
135836a090b1b77
14245d834d87846
15102ab4e70591c
hex776db769c6c6

131313112303302 has 64 divisors (see below), whose sum is σ = 292048073208000. Its totient is φ = 43734867369984.

The previous prime is 131313112303277. The next prime is 131313112303333. The reversal of 131313112303302 is 203303211313131.

131313112303302 is a `hidden beast` number, since 1 + 3 + 1 + 313 + 1 + 12 + 3 + 0 + 330 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1945662774 + ... + 1945730262.

It is an arithmetic number, because the mean of its divisors is an integer number (4563251143875).

Almost surely, 2131313112303302 is an apocalyptic number.

131313112303302 is an abundant number, since it is smaller than the sum of its proper divisors (160734960904698).

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

131313112303302 is a wasteful number, since it uses less digits than its factorization.

131313112303302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96742 (or 96736 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131313112303302 its reverse (203303211313131), we get a palindrome (334616323616433).

The spelling of 131313112303302 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred twelve million, three hundred three thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 1289 2578 3867 7734 11601 23202 27953 34803 55906 67489 69606 83859 134978 167718 202467 251577 404934 503154 607401 754731 1214802 1509462 1822203 3644406 36031417 72062834 86993321 108094251 173986642 216188502 260979963 324282753 521959926 648565506 782939889 972848259 1565879778 1886520017 1945696518 2348819667 3773040034 4697639334 5659560051 11319120102 16978680153 33957360306 50936040459 101872080918 2431724301913 4863448603826 7295172905739 14590345811478 21885518717217 43771037434434 65656556151651 131313112303302