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313797313 = 29413157
BaseRepresentation
bin10010101101000…
…010101011000001
3210212110112222201
4102231002223001
51120313003223
651045433201
710530142654
oct2255025301
9725415881
10313797313
11151148625
128910b801
135001bbab
142d96589b
151c836ead
hex12b42ac1

313797313 has 16 divisors (see below), whose sum is σ = 334852560. Its totient is φ = 293704320.

The previous prime is 313797311. The next prime is 313797317.

313797313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 296425089 + 17372224 = 17217^2 + 4168^2 .

It is not a de Polignac number, because 313797313 - 21 = 313797311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313797311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1998631 + ... + 1998787.

It is an arithmetic number, because the mean of its divisors is an integer number (20928285).

Almost surely, 2313797313 is an apocalyptic number.

It is an amenable number.

313797313 is a deficient number, since it is larger than the sum of its proper divisors (21055247).

313797313 is an frugal number, since it uses more digits than its factorization.

313797313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 227 counting only the distinct ones).

The product of its digits is 35721, while the sum is 37.

The square root of 313797313 is about 17714.3250788733. The cubic root of 313797313 is about 679.5421608116.

The spelling of 313797313 in words is "three hundred thirteen million, seven hundred ninety-seven thousand, three hundred thirteen".

Divisors: 1 29 41 157 1189 1681 4553 6437 48749 68921 186673 263917 1998709 7653593 10820597 313797313