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2013031320 = 233518192681
BaseRepresentation
bin111011111111100…
…0110101110011000
312012021212120211120
41313333012232120
513110314000240
6531430125240
7100612324656
oct16777065630
95167776746
102013031320
11943338253
124821b0820
1326108a8c1
141514cbdd6
15bbad8ad0
hex77fc6b98

2013031320 has 64 divisors (see below), whose sum is σ = 6072524640. Its totient is φ = 533836800.

The previous prime is 2013031177. The next prime is 2013031331. The reversal of 2013031320 is 231303102.

2013031320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013031320.

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, 24621 + ... + 68060.

Almost surely, 22013031320 is an apocalyptic number.

2013031320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013031320 is an abundant number, since it is smaller than the sum of its proper divisors (4059493320).

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

2013031320 is a wasteful number, since it uses less digits than its factorization.

2013031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92876 (or 92872 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2013031320 is about 44866.8175827080. The cubic root of 2013031320 is about 1262.6515338812.

Adding to 2013031320 its reverse (231303102), we get a palindrome (2244334422).

The spelling of 2013031320 in words is "two billion, thirteen million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5430 7240 10860 21720 92681 185362 278043 370724 463405 556086 741448 926810 1112172 1390215 1853620 2224344 2780430 3707240 5560860 11121720 16775261 33550522 50325783 67101044 83876305 100651566 134202088 167752610 201303132 251628915 335505220 402606264 503257830 671010440 1006515660 2013031320