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31430311303413 = 3118536911156669
BaseRepresentation
bin1110010010101111100001…
…00010100101100011110101
311010021201010102202022100010
413021113300202211203311
513104423234143202123
6150502515150210433
76422523262023231
oct711276042454365
9133251112668303
1031430311303413
11a01857a387220
1236374a37b3a19
13146cb33a65bc9
147a93414b75c1
15397894055993
hex1c95f08a58f5

31430311303413 has 16 divisors (see below), whose sum is σ = 45717356059200. Its totient is φ = 19048448676480.

The previous prime is 31430311303343. The next prime is 31430311303441.

31430311303413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31430311303413 - 213 = 31430311295221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31430311303213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2761158 + ... + 8395511.

It is an arithmetic number, because the mean of its divisors is an integer number (2857334753700).

Almost surely, 231430311303413 is an apocalyptic number.

31430311303413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31430311303413 is a deficient number, since it is larger than the sum of its proper divisors (14287044755787).

31430311303413 is a wasteful number, since it uses less digits than its factorization.

31430311303413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11242052.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 3143031 and 1303413, that added together give a palindrome (4446444).

The spelling of 31430311303413 in words is "thirty-one trillion, four hundred thirty billion, three hundred eleven million, three hundred three thousand, four hundred thirteen".

Divisors: 1 3 11 33 85369 256107 939059 2817177 11156669 33470007 122723359 368170077 952433675861 2857301027583 10476770434471 31430311303413