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315808129 = 71331111949
BaseRepresentation
bin10010110100101…
…101100110000001
3211000020201022101
4102310231212001
51121321330004
651200510401
710553216260
oct2264554601
9730221271
10315808129
111522a135a
128991b401
1350574220
142dd2a5d7
151cad2ba4
hex12d2d981

315808129 has 16 divisors (see below), whose sum is σ = 401228800. Its totient is φ = 241807680.

The previous prime is 315808127. The next prime is 315808159. The reversal of 315808129 is 921808513.

It is a cyclic number.

It is not a de Polignac number, because 315808129 - 21 = 315808127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315808127) 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, 53154 + ... + 58795.

It is an arithmetic number, because the mean of its divisors is an integer number (25076800).

Almost surely, 2315808129 is an apocalyptic number.

It is an amenable number.

315808129 is a deficient number, since it is larger than the sum of its proper divisors (85420671).

315808129 is a wasteful number, since it uses less digits than its factorization.

315808129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112000.

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 315808129 is about 17770.9912216511. The cubic root of 315808129 is about 680.9905754750.

The spelling of 315808129 in words is "three hundred fifteen million, eight hundred eight thousand, one hundred twenty-nine".

Divisors: 1 7 13 31 91 217 403 2821 111949 783643 1455337 3470419 10187359 24292933 45115447 315808129