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2117302512 = 243135373877
BaseRepresentation
bin111111000110011…
…0111100011110000
312110120002010000120
41332030313203300
513314012140022
6550033050240
7103316526423
oct17614674360
95416063016
102117302512
11997186796
124b10b6980
13279868530
141612b19ba
15c5d33d5c
hex7e3378f0

2117302512 has 160 divisors (see below), whose sum is σ = 6090735168. Its totient is φ = 629710848.

The previous prime is 2117302507. The next prime is 2117302529. The reversal of 2117302512 is 2152037112.

2117302512 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2413818 + ... + 2414694.

Almost surely, 22117302512 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 2117302512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045367584).

2117302512 is an abundant number, since it is smaller than the sum of its proper divisors (3973432656).

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

2117302512 is a wasteful number, since it uses less digits than its factorization.

2117302512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2117302512 is about 46014.1555610879. The cubic root of 2117302512 is about 1284.0865713507.

Adding to 2117302512 its reverse (2152037112), we get a palindrome (4269339624).

The spelling of 2117302512 in words is "two billion, one hundred seventeen million, three hundred two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 73 78 104 106 146 156 159 208 212 219 292 312 318 424 438 584 624 636 689 848 876 877 949 1168 1272 1378 1752 1754 1898 2067 2544 2631 2756 2847 3504 3508 3796 3869 4134 5262 5512 5694 7016 7592 7738 8268 10524 11024 11388 11401 11607 14032 15184 15476 16536 21048 22776 22802 23214 30952 33072 34203 42096 45552 45604 46428 46481 50297 61904 64021 68406 91208 92856 92962 100594 128042 136812 139443 150891 182416 185712 185924 192063 201188 256084 273624 278886 301782 371848 384126 402376 512168 547248 557772 603564 604253 743696 768252 804752 832273 1024336 1115544 1207128 1208506 1536504 1664546 1812759 2231088 2414256 2417012 2496819 3073008 3329092 3393113 3625518 4834024 4993638 6658184 6786226 7251036 9668048 9987276 10179339 13316368 13572452 14502072 19974552 20358678 27144904 29004144 39949104 40717356 44110469 54289808 81434712 88220938 132331407 162869424 176441876 264662814 352883752 529325628 705767504 1058651256 2117302512