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231312311317 is a prime number
BaseRepresentation
bin1101011101101101001…
…0011100010000010101
3211010001112220220120101
43113123102130100111
512242211422430232
6254132521334101
722466064130243
oct3273322342025
9733045826511
10231312311317
118a10a85113a
12389b6037331
1318a7453cb39
14b2a4933793
15603c3c11e7
hex35db49c415

231312311317 has 2 divisors, whose sum is σ = 231312311318. Its totient is φ = 231312311316.

The previous prime is 231312311257. The next prime is 231312311369. The reversal of 231312311317 is 713113213132.

231312311317 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., 146072253636 + 85240057681 = 382194^2 + 291959^2 .

It is a cyclic number.

It is not a de Polignac number, because 231312311317 - 27 = 231312311189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231312311117) 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, 115656155658 + 115656155659.

It is an arithmetic number, because the mean of its divisors is an integer number (115656155659).

Almost surely, 2231312311317 is an apocalyptic number.

It is an amenable number.

231312311317 is a deficient number, since it is larger than the sum of its proper divisors (1).

231312311317 is an equidigital number, since it uses as much as digits as its factorization.

231312311317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 28.

Adding to 231312311317 its reverse (713113213132), we get a palindrome (944425524449).

The spelling of 231312311317 in words is "two hundred thirty-one billion, three hundred twelve million, three hundred eleven thousand, three hundred seventeen".