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2013325132 = 2272133171359
BaseRepresentation
bin111100000000000…
…1110011101001100
312012022102111212111
41320000032131030
513110402401012
6531440313404
7100614660400
oct17000163514
95168374774
102013325132
11943518a75
12482312864
13261161560
14151567100
15bbb45ba7
hex7800e74c

2013325132 has 144 divisors (see below), whose sum is σ = 4633251840. Its totient is φ = 757814400.

The previous prime is 2013325091. The next prime is 2013325169. The reversal of 2013325132 is 2315233102.

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 47 ways as a sum of consecutive naturals, for example, 5607969 + ... + 5608327.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 22013325132 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 2013325132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316625920).

2013325132 is an abundant number, since it is smaller than the sum of its proper divisors (2619926708).

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

2013325132 is a wasteful number, since it uses less digits than its factorization.

2013325132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 2013325132 is about 44870.0917315755. The cubic root of 2013325132 is about 1262.7129609972.

Adding to 2013325132 its reverse (2315233102), we get a palindrome (4328558234).

The spelling of 2013325132 in words is "two billion, thirteen million, three hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 71 91 98 124 142 182 196 217 284 359 364 403 434 497 637 718 806 868 923 994 1274 1436 1519 1612 1846 1988 2201 2513 2548 2821 3038 3479 3692 4402 4667 5026 5642 6076 6461 6958 8804 9334 10052 11129 11284 12922 13916 15407 17591 18668 19747 22258 25489 25844 28613 30814 32669 35182 39494 44516 45227 50978 57226 61628 65338 70364 77903 78988 90454 101956 107849 114452 130676 144677 155806 178423 180908 200291 215698 228683 289354 311612 331357 356846 400582 431396 457366 545321 578708 662714 713692 790159 801164 914732 1012739 1090642 1248961 1325428 1402037 1580318 2025478 2181284 2319499 2497922 2804074 3160636 4050956 4638998 4995844 5531113 5608148 7089173 9277996 10272067 11062226 14178346 16236493 20544134 22124452 28356692 32472986 38717791 41088268 64945972 71904469 77435582 143808938 154871164 287617876 503331283 1006662566 2013325132