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2013325344 = 2532671031013
BaseRepresentation
bin111100000000000…
…1110100000100000
312012022102112011100
41320000032200200
513110402402334
6531440314400
7100614661122
oct17000164040
95168375140
102013325344
11943519148
12482312a00
13261161694
14151567212
15bbb45c99
hex7800e820

2013325344 has 144 divisors (see below), whose sum is σ = 5873055552. Its totient is φ = 654027264.

The previous prime is 2013325343. The next prime is 2013325357. The reversal of 2013325344 is 4435233102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2013325343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1986982 + ... + 1987994.

It is an arithmetic number, because the mean of its divisors is an integer number (40785108).

Almost surely, 22013325344 is an apocalyptic number.

2013325344 is a gapful number since it is divisible by the number (24) 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 2013325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936527776).

2013325344 is an abundant number, since it is smaller than the sum of its proper divisors (3859730208).

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

2013325344 is a wasteful number, since it uses less digits than its factorization.

2013325344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2013325344 is about 44870.0940939508. The cubic root of 2013325344 is about 1262.7130053177.

Adding to 2013325344 its reverse (4435233102), we get a palindrome (6448558446).

The spelling of 2013325344 in words is "two billion, thirteen million, three hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 103 134 144 201 206 268 288 309 402 412 536 603 618 804 824 927 1013 1072 1206 1236 1608 1648 1854 2026 2144 2412 2472 3039 3216 3296 3708 4052 4824 4944 6078 6432 6901 7416 8104 9117 9648 9888 12156 13802 14832 16208 18234 19296 20703 24312 27604 29664 32416 36468 41406 48624 55208 62109 67871 72936 82812 97248 104339 110416 124218 135742 145872 165624 203613 208678 220832 248436 271484 291744 313017 331248 407226 417356 496872 542968 610839 626034 662496 814452 834712 939051 993744 1085936 1221678 1252068 1628904 1669424 1878102 1987488 2171872 2443356 2504136 3257808 3338848 3756204 4886712 5008272 6515616 6990713 7512408 9773424 10016544 13981426 15024816 19546848 20972139 27962852 30049632 41944278 55925704 62916417 83888556 111851408 125832834 167777112 223702816 251665668 335554224 503331336 671108448 1006662672 2013325344