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231131444131 = 7195213335567
BaseRepresentation
bin1101011101000010000…
…0011111001110100011
3211002120221120220102201
43113100200133032203
512241324122203011
6254102540554031
722461436600540
oct3272040371643
9732527526381
10231131444131
118a027746a25
1238965552917
1318a45c24333
14b2888d1bc7
15602b595cc1
hex35d081f3a3

231131444131 has 16 divisors (see below), whose sum is σ = 278586639360. Its totient is φ = 187325386560.

The previous prime is 231131444123. The next prime is 231131444179. The reversal of 231131444131 is 131444131132.

231131444131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 231131444131 - 23 = 231131444123 is a prime.

It is a super-2 number, since 2×2311314441312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 231131444131.

It is not an unprimeable number, because it can be changed into a prime (231131444101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1598491 + ... + 1737076.

It is an arithmetic number, because the mean of its divisors is an integer number (17411664960).

Almost surely, 2231131444131 is an apocalyptic number.

231131444131 is a deficient number, since it is larger than the sum of its proper divisors (47455195229).

231131444131 is a wasteful number, since it uses less digits than its factorization.

231131444131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336114.

The product of its digits is 3456, while the sum is 28.

Adding to 231131444131 its reverse (131444131132), we get a palindrome (362575575263).

The spelling of 231131444131 in words is "two hundred thirty-one billion, one hundred thirty-one million, four hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 7 19 133 521 3647 9899 69293 3335567 23348969 63375773 443630411 1737830407 12164812849 33018777733 231131444131