Search a number
-
+
313357441057 is a prime number
BaseRepresentation
bin1001000111101011000…
…11110001100000100001
31002221211102022100011021
410203311203301200201
520113224001103212
6355542053245441
731432201205233
oct4436543614041
91087742270137
10313357441057
11110992119491
1250892933881
132371b29069b
1411249154253
1582401b9307
hex48f58f1821

313357441057 has 2 divisors, whose sum is σ = 313357441058. Its totient is φ = 313357441056.

The previous prime is 313357441027. The next prime is 313357441063. The reversal of 313357441057 is 750144753313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311720105761 + 1637335296 = 558319^2 + 40464^2 .

It is a cyclic number.

It is not a de Polignac number, because 313357441057 - 223 = 313349052449 is a prime.

It is not a weakly prime, because it can be changed into another prime (313357441027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156678720528 + 156678720529.

It is an arithmetic number, because the mean of its divisors is an integer number (156678720529).

Almost surely, 2313357441057 is an apocalyptic number.

It is an amenable number.

313357441057 is a deficient number, since it is larger than the sum of its proper divisors (1).

313357441057 is an equidigital number, since it uses as much as digits as its factorization.

313357441057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 529200, while the sum is 43.

The spelling of 313357441057 in words is "three hundred thirteen billion, three hundred fifty-seven million, four hundred forty-one thousand, fifty-seven".