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315707513 = 1126142773
BaseRepresentation
bin10010110100010…
…101000001111001
3211000001121021212
4102310111001321
51121310120023
651154412505
710552320032
oct2264250171
9730047255
10315707513
11152232800
1289891135
135053a4a4
142dd01a89
151cab2e78
hex12d15079

315707513 has 12 divisors (see below), whose sum is σ = 352714404. Its totient is φ = 282295200.

The previous prime is 315707489. The next prime is 315707519.

315707513 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 18593344 + 297114169 = 4312^2 + 17237^2 .

It is not a de Polignac number, because 315707513 - 26 = 315707449 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 315707513.

It is not an unprimeable number, because it can be changed into a prime (315707519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14006 + ... + 28767.

It is an arithmetic number, because the mean of its divisors is an integer number (29392867).

Almost surely, 2315707513 is an apocalyptic number.

It is an amenable number.

315707513 is a deficient number, since it is larger than the sum of its proper divisors (37006891).

315707513 is a wasteful number, since it uses less digits than its factorization.

315707513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42856 (or 42845 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 32.

The square root of 315707513 is about 17768.1600904539. The cubic root of 315707513 is about 680.9182469318.

The spelling of 315707513 in words is "three hundred fifteen million, seven hundred seven thousand, five hundred thirteen".

Divisors: 1 11 61 121 671 7381 42773 470503 2609153 5175533 28700683 315707513