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311045124 = 2231317196173
BaseRepresentation
bin10010100010100…
…010110000000100
3210200021201200210
4102202202300010
51114111420444
650510435420
710464561045
oct2242426004
9720251623
10311045124
1114a638895
1288202b70
134c597290
142d44a8cc
151c4917b9
hex128a2c04

311045124 has 96 divisors (see below), whose sum is σ = 871274880. Its totient is φ = 85321728.

The previous prime is 311045113. The next prime is 311045131. The reversal of 311045124 is 421540113.

It is a self number, because there is not a number n which added to its sum of digits gives 311045124.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47302 + ... + 53474.

It is an arithmetic number, because the mean of its divisors is an integer number (9075780).

Almost surely, 2311045124 is an apocalyptic number.

311045124 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311045124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435637440).

311045124 is an abundant number, since it is smaller than the sum of its proper divisors (560229756).

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

311045124 is a wasteful number, since it uses less digits than its factorization.

311045124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 311045124 is about 17636.4714157906. The cubic root of 311045124 is about 677.5496613515.

Adding to 311045124 its reverse (421540113), we get a palindrome (732585237).

The spelling of 311045124 in words is "three hundred eleven million, forty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 204 221 228 247 323 442 494 646 663 741 884 969 988 1292 1326 1482 1938 2652 2964 3876 4199 6173 8398 12346 12597 16796 18519 24692 25194 37038 50388 74076 80249 104941 117287 160498 209882 234574 240747 314823 320996 351861 419764 469148 481494 629646 703722 962988 1259292 1364233 1407444 1524731 1993879 2728466 3049462 3987758 4092699 4574193 5456932 5981637 6098924 7975516 8185398 9148386 11963274 16370796 18296772 23926548 25920427 51840854 77761281 103681708 155522562 311045124