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312313112941 is a prime number
BaseRepresentation
bin1001000101101110100…
…11111110100101101101
31002212010122012222022011
410202313103332211231
520104104124103231
6355250305521221
731364260441654
oct4426723764555
91085118188264
10312313112941
111104a66792a5
1250641043211
13235b2b0295b
141118a58819b
1581cd67d9b1
hex48b74fe96d

312313112941 has 2 divisors, whose sum is σ = 312313112942. Its totient is φ = 312313112940.

The previous prime is 312313112929. The next prime is 312313113011. The reversal of 312313112941 is 149211313213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189722096041 + 122591016900 = 435571^2 + 350130^2 .

It is a cyclic number.

It is not a de Polignac number, because 312313112941 - 233 = 303723178349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312313112141) 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 as a sum of consecutive naturals, namely, 156156556470 + 156156556471.

It is an arithmetic number, because the mean of its divisors is an integer number (156156556471).

Almost surely, 2312313112941 is an apocalyptic number.

It is an amenable number.

312313112941 is a deficient number, since it is larger than the sum of its proper divisors (1).

312313112941 is an equidigital number, since it uses as much as digits as its factorization.

312313112941 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 31.

The spelling of 312313112941 in words is "three hundred twelve billion, three hundred thirteen million, one hundred twelve thousand, nine hundred forty-one".