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231312311057 is a prime number
BaseRepresentation
bin1101011101101101001…
…0011100001100010001
3211010001112220220012202
43113123102130030101
512242211422423212
6254132521332545
722466064126422
oct3273322341421
9733045826182
10231312311057
118a10a850a23
12389b6037155
1318a7453c999
14b2a4933649
15603c3c10c2
hex35db49c311

231312311057 has 2 divisors, whose sum is σ = 231312311058. Its totient is φ = 231312311056.

The previous prime is 231312311011. The next prime is 231312311099. The reversal of 231312311057 is 750113213132.

231312311057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224760379921 + 6551931136 = 474089^2 + 80944^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231312311057 is a prime.

It is not a weakly prime, because it can be changed into another prime (231312311257) 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 as a sum of consecutive naturals, namely, 115656155528 + 115656155529.

It is an arithmetic number, because the mean of its divisors is an integer number (115656155529).

Almost surely, 2231312311057 is an apocalyptic number.

It is an amenable number.

231312311057 is a deficient number, since it is larger than the sum of its proper divisors (1).

231312311057 is an equidigital number, since it uses as much as digits as its factorization.

231312311057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

Adding to 231312311057 its reverse (750113213132), we get a palindrome (981425524189).

The spelling of 231312311057 in words is "two hundred thirty-one billion, three hundred twelve million, three hundred eleven thousand, fifty-seven".