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315429135 = 35717176711
BaseRepresentation
bin10010110011010…
…001000100001111
3210222112110102120
4102303101010033
51121222213020
651144424023
710550050320
oct2263210417
9728473376
10315429135
1115206263a
1289778013
1350470878
142dc6c447
151ca5a740
hex12cd110f

315429135 has 32 divisors (see below), whose sum is σ = 610716672. Its totient is φ = 135713280.

The previous prime is 315429119. The next prime is 315429139. The reversal of 315429135 is 531924513.

It is not a de Polignac number, because 315429135 - 24 = 315429119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 315429096 and 315429105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315429139) 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 31 ways as a sum of consecutive naturals, for example, 86571 + ... + 90140.

It is an arithmetic number, because the mean of its divisors is an integer number (19084896).

Almost surely, 2315429135 is an apocalyptic number.

315429135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

315429135 is a deficient number, since it is larger than the sum of its proper divisors (295287537).

315429135 is a wasteful number, since it uses less digits than its factorization.

315429135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176743.

The product of its digits is 16200, while the sum is 33.

The square root of 315429135 is about 17760.3247436526. The cubic root of 315429135 is about 680.7180527726.

The spelling of 315429135 in words is "three hundred fifteen million, four hundred twenty-nine thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1785 176711 530133 883555 1236977 2650665 3004087 3710931 6184885 9012261 15020435 18554655 21028609 45061305 63085827 105143045 315429135