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231313404001 is a prime number
BaseRepresentation
bin1101011101101101011…
…0100111000001100001
3211010001121222102110011
43113123112213001201
512242212212412001
6254133001004521
722466106331021
oct3273326470141
9733047872404
10231313404001
118a110428089
12389b6483741
1318a748332b4
14b2a4b39a81
15603c539d51
hex35db5a7061

231313404001 has 2 divisors, whose sum is σ = 231313404002. Its totient is φ = 231313404000.

The previous prime is 231313403999. The next prime is 231313404017. The reversal of 231313404001 is 100404313132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135921992976 + 95391411025 = 368676^2 + 308855^2 .

It is a cyclic number.

It is not a de Polignac number, because 231313404001 - 21 = 231313403999 is a prime.

Together with 231313403999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (231313404031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115656702000 + 115656702001.

It is an arithmetic number, because the mean of its divisors is an integer number (115656702001).

Almost surely, 2231313404001 is an apocalyptic number.

It is an amenable number.

231313404001 is a deficient number, since it is larger than the sum of its proper divisors (1).

231313404001 is an equidigital number, since it uses as much as digits as its factorization.

231313404001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 231313404001 its reverse (100404313132), we get a palindrome (331717717133).

The spelling of 231313404001 in words is "two hundred thirty-one billion, three hundred thirteen million, four hundred four thousand, one".