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2013313432 = 2313473471187
BaseRepresentation
bin111100000000000…
…1011100110011000
312012022101220211011
41320000023212120
513110402012212
6531440143304
7100614611314
oct17000134630
95168356734
102013313432
119435101a9
12482307b34
13261159130
14151562b44
15bbb424a7
hex7800b998

2013313432 has 64 divisors (see below), whose sum is σ = 4167313920. Its totient is φ = 906066048.

The previous prime is 2013313427. The next prime is 2013313513. The reversal of 2013313432 is 2343133102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695543 + ... + 1696729.

It is an arithmetic number, because the mean of its divisors is an integer number (65114280).

Almost surely, 22013313432 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 2013313432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083656960).

2013313432 is an abundant number, since it is smaller than the sum of its proper divisors (2154000488).

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

2013313432 is a wasteful number, since it uses less digits than its factorization.

2013313432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 2013313432 is about 44869.9613550090. The cubic root of 2013313432 is about 1262.7105149988.

Adding to 2013313432 its reverse (2343133102), we get a palindrome (4356446534).

The spelling of 2013313432 in words is "two billion, thirteen million, three hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 347 376 611 694 1187 1222 1388 2374 2444 2776 4511 4748 4888 9022 9496 15431 16309 18044 30862 32618 36088 55789 61724 65236 111578 123448 130472 212017 223156 411889 424034 446312 725257 823778 848068 1450514 1647556 1696136 2901028 3295112 5354557 5802056 10709114 19358783 21418228 38717566 42836456 77435132 154870264 251664179 503328358 1006656716 2013313432