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312313112929 is a prime number
BaseRepresentation
bin1001000101101110100…
…11111110100101100001
31002212010122012222021201
410202313103332211201
520104104124103204
6355250305521201
731364260441636
oct4426723764541
91085118188251
10312313112929
111104a6679294
1250641043201
13235b2b0294c
141118a58818d
1581cd67d9a4
hex48b74fe961

312313112929 has 2 divisors, whose sum is σ = 312313112930. Its totient is φ = 312313112928.

The previous prime is 312313112849. The next prime is 312313112941. The reversal of 312313112929 is 929211313213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283811907600 + 28501205329 = 532740^2 + 168823^2 .

It is an emirp because it is prime and its reverse (929211313213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312313112929 - 29 = 312313112417 is a prime.

It is not a weakly prime, because it can be changed into another prime (312313112329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156156556464 + 156156556465.

It is an arithmetic number, because the mean of its divisors is an integer number (156156556465).

Almost surely, 2312313112929 is an apocalyptic number.

It is an amenable number.

312313112929 is a deficient number, since it is larger than the sum of its proper divisors (1).

312313112929 is an equidigital number, since it uses as much as digits as its factorization.

312313112929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 37.

The spelling of 312313112929 in words is "three hundred twelve billion, three hundred thirteen million, one hundred twelve thousand, nine hundred twenty-nine".