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2013311124 = 22321122722397
BaseRepresentation
bin111100000000000…
…1011000010010100
312012022101210122200
41320000023002110
513110401423444
6531440124500
7100614601506
oct17000130224
95168353580
102013311124
119435094a0
12482306730
13261158076
14151561d76
15bbb41969
hex7800b094

2013311124 has 72 divisors (see below), whose sum is σ = 5576564448. Its totient is φ = 607379520.

The previous prime is 2013311119. The next prime is 2013311171. The reversal of 2013311124 is 4211133102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2013311097 and 2013311106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78694 + ... + 101090.

It is an arithmetic number, because the mean of its divisors is an integer number (77452284).

Almost surely, 22013311124 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 2013311124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788282224).

2013311124 is an abundant number, since it is smaller than the sum of its proper divisors (3563253324).

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

2013311124 is a wasteful number, since it uses less digits than its factorization.

2013311124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22645 (or 22640 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2013311124 is about 44869.9356362364. The cubic root of 2013311124 is about 1262.7100324879.

Adding to 2013311124 its reverse (4211133102), we get a palindrome (6224444226).

The spelling of 2013311124 in words is "two billion, thirteen million, three hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 227 396 454 681 908 1362 2043 2497 2724 4086 4994 7491 8172 9988 14982 22397 22473 29964 44794 44946 67191 89588 89892 134382 201573 246367 268764 403146 492734 739101 806292 985468 1478202 2217303 2956404 4434606 5084119 8869212 10168238 15252357 20336476 30504714 45757071 55925309 61009428 91514142 111850618 167775927 183028284 223701236 335551854 503327781 671103708 1006655562 2013311124