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312928416313 is a prime number
BaseRepresentation
bin1001000110110111111…
…11001011001000111001
31002220201112000121211221
410203123333023020321
520111334133310223
6355431325552041
731415441436232
oct4433377131071
91086645017757
10312928416313
11110791a29887
1250793115621
1323680428ca6
1411208196089
1582176c0b5d
hex48dbfcb239

312928416313 has 2 divisors, whose sum is σ = 312928416314. Its totient is φ = 312928416312.

The previous prime is 312928416299. The next prime is 312928416323. The reversal of 312928416313 is 313614829213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210610319929 + 102318096384 = 458923^2 + 319872^2 .

It is a cyclic number.

It is not a de Polignac number, because 312928416313 - 29 = 312928415801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312928416313.

It is not a weakly prime, because it can be changed into another prime (312928416323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156464208156 + 156464208157.

It is an arithmetic number, because the mean of its divisors is an integer number (156464208157).

Almost surely, 2312928416313 is an apocalyptic number.

It is an amenable number.

312928416313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312928416313 is an equidigital number, since it uses as much as digits as its factorization.

312928416313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 186624, while the sum is 43.

The spelling of 312928416313 in words is "three hundred twelve billion, nine hundred twenty-eight million, four hundred sixteen thousand, three hundred thirteen".