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312475323574213 is a prime number
BaseRepresentation
bin100011100001100011101010…
…0101010011010011111000101
31111222101100102120012002110021
41013003013110222122133011
5311424043430313333323
63024325103144055141
7122550411546303562
oct10703072452323705
91458340376162407
10312475323574213
1190623049a408a8
122b0679897644b1
13105483b176bc97
145723c5a23d869
15261d300d0905d
hex11c31d4a9a7c5

312475323574213 has 2 divisors, whose sum is σ = 312475323574214. Its totient is φ = 312475323574212.

The previous prime is 312475323574201. The next prime is 312475323574231.

It is a happy number.

312475323574213 is nontrivially palindromic in base 10.

Together with next prime (312475323574231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286234221097764 + 26241102476449 = 16918458^2 + 5122607^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312475323574213 - 229 = 312474786703301 is a prime.

It is a super-2 number, since 2×3124753235742132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312475323574013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156237661787106 + 156237661787107.

It is an arithmetic number, because the mean of its divisors is an integer number (156237661787107).

Almost surely, 2312475323574213 is an apocalyptic number.

It is an amenable number.

312475323574213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312475323574213 is an equidigital number, since it uses as much as digits as its factorization.

312475323574213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12700800, while the sum is 52.

The spelling of 312475323574213 in words is "three hundred twelve trillion, four hundred seventy-five billion, three hundred twenty-three million, five hundred seventy-four thousand, two hundred thirteen".