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2013211332 = 22321117973083
BaseRepresentation
bin111011111111111…
…0010101011000100
312012022012201202200
41313333302223010
513110340230312
6531434034500
7100614004536
oct16777625304
95168181680
102013211332
11943450520
12482278a30
13261121812
14151537856
15bbb220dc
hex77ff2ac4

2013211332 has 144 divisors (see below), whose sum is σ = 5940672192. Its totient is φ = 568074240.

The previous prime is 2013211309. The next prime is 2013211337. The reversal of 2013211332 is 2331123102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2013211337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651463 + ... + 654545.

It is an arithmetic number, because the mean of its divisors is an integer number (41254668).

Almost surely, 22013211332 is an apocalyptic number.

2013211332 is a gapful number since it is divisible by the number (22) 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 2013211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970336096).

2013211332 is an abundant number, since it is smaller than the sum of its proper divisors (3927460860).

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

2013211332 is a wasteful number, since it uses less digits than its factorization.

2013211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2013211332 is about 44868.8236083809. The cubic root of 2013211332 is about 1262.6891696018.

Adding to 2013211332 its reverse (2331123102), we get a palindrome (4344334434).

The spelling of 2013211332 in words is "two billion, thirteen million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 97 99 102 132 153 187 194 198 204 291 306 374 388 396 561 582 612 748 873 1067 1122 1164 1649 1683 1746 2134 2244 3083 3201 3298 3366 3492 4268 4947 6166 6402 6596 6732 9249 9603 9894 12332 12804 14841 18139 18498 19206 19788 27747 29682 33913 36278 36996 38412 52411 54417 55494 59364 67826 72556 101739 104822 108834 110988 135652 157233 163251 203478 209644 217668 299051 305217 314466 326502 406956 471699 576521 598102 610434 628932 653004 897153 943398 1153042 1196204 1220868 1729563 1794306 1886796 2306084 2691459 3289561 3459126 3588612 5083867 5188689 5382918 6579122 6918252 9868683 10167734 10377378 10765836 13158244 15251601 19737366 20335468 20754756 29606049 30503202 39474732 45754803 55922537 59212098 61006404 91509606 111845074 118424196 167767611 183019212 223690148 335535222 503302833 671070444 1006605666 2013211332