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315120457 = 53107181307
BaseRepresentation
bin10010110010000…
…101101101001001
3210221221210000001
4102302011231021
51121132323312
651134043001
710544323351
oct2262055511
9727853001
10315120457
11151971733
1289649461
1350393212
142dbcbb61
151c9e9057
hex12c85b49

315120457 has 16 divisors (see below), whose sum is σ = 326918592. Its totient is φ = 303600960.

The previous prime is 315120451. The next prime is 315120473. The reversal of 315120457 is 754021513.

It is a happy number.

It is not a de Polignac number, because 315120457 - 27 = 315120329 is a prime.

It is a super-3 number, since 3×3151204573 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315120451) 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 15 ways as a sum of consecutive naturals, for example, 1026298 + ... + 1026604.

It is an arithmetic number, because the mean of its divisors is an integer number (20432412).

Almost surely, 2315120457 is an apocalyptic number.

It is an amenable number.

315120457 is a deficient number, since it is larger than the sum of its proper divisors (11798135).

315120457 is a wasteful number, since it uses less digits than its factorization.

315120457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 315120457 is about 17751.6325164758. The cubic root of 315120457 is about 680.4959307566.

The spelling of 315120457 in words is "three hundred fifteen million, one hundred twenty thousand, four hundred fifty-seven".

Divisors: 1 53 107 181 307 5671 9593 16271 19367 32849 55567 1026451 1740997 2945051 5945669 315120457