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315117012 = 223737531913
BaseRepresentation
bin10010110010000…
…100110111010100
3210221221121021110
4102302010313110
51121132221022
651134015020
710544310330
oct2262046724
9727847243
10315117012
1115196a091
1289647470
1350391792
142dbca7c0
151c9e800c
hex12c84dd4

315117012 has 96 divisors (see below), whose sum is σ = 879766272. Its totient is φ = 85902336.

The previous prime is 315116969. The next prime is 315117037. The reversal of 315117012 is 210711513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 315117012.

It is a congruent number.

It is an unprimeable number.

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, 163768 + ... + 165680.

It is an arithmetic number, because the mean of its divisors is an integer number (9164232).

Almost surely, 2315117012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315117012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439883136).

315117012 is an abundant number, since it is smaller than the sum of its proper divisors (564649260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315117012 is a wasteful number, since it uses less digits than its factorization.

315117012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 315117012 is about 17751.5354828815. The cubic root of 315117012 is about 680.4934509461.

Adding to 315117012 its reverse (210711513), we get a palindrome (525828525).

The spelling of 315117012 in words is "three hundred fifteen million, one hundred seventeen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 53 74 84 106 111 148 159 212 222 259 318 371 444 518 636 742 777 1036 1113 1484 1554 1913 1961 2226 3108 3826 3922 4452 5739 5883 7652 7844 11478 11766 13391 13727 22956 23532 26782 27454 40173 41181 53564 54908 70781 80346 82362 101389 141562 160692 164724 202778 212343 283124 304167 405556 424686 495467 608334 709723 849372 990934 1216668 1419446 1486401 1981868 2129169 2838892 2972802 3751393 4258338 5945604 7502786 8516676 11254179 15005572 22508358 26259751 45016716 52519502 78779253 105039004 157558506 315117012