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231313120031 = 729013523763
BaseRepresentation
bin1101011101101101010…
…1100001101100011111
3211010001121102222220202
43113123111201230133
512242212124320111
6254132550534115
722466104036100
oct3273325415437
9733047388822
10231313120031
118a1102537a4
12389b636733b
1318a74763c76
14b2a4aa43a7
15603c4d0b3b
hex35db561b1f

231313120031 has 12 divisors (see below), whose sum is σ = 269108895672. Its totient is φ = 198246012048.

The previous prime is 231313120013. The next prime is 231313120043. The reversal of 231313120031 is 130021313132.

It is not a de Polignac number, because 231313120031 - 26 = 231313119967 is a prime.

It is a super-2 number, since 2×2313131200312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 231313119985 and 231313120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231313120331) 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 11 ways as a sum of consecutive naturals, for example, 179756 + ... + 703518.

It is an arithmetic number, because the mean of its divisors is an integer number (22425741306).

Almost surely, 2231313120031 is an apocalyptic number.

231313120031 is a deficient number, since it is larger than the sum of its proper divisors (37795775641).

231313120031 is an equidigital number, since it uses as much as digits as its factorization.

231313120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532790 (or 532783 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 231313120031 its reverse (130021313132), we get a palindrome (361334433163).

The spelling of 231313120031 in words is "two hundred thirty-one billion, three hundred thirteen million, one hundred twenty thousand, thirty-one".

Divisors: 1 7 49 9013 63091 441637 523763 3666341 25664387 4720675919 33044731433 231313120031