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2013113331 = 358284417
BaseRepresentation
bin111011111111101…
…1010101111110011
312012022000202100000
41313333122233303
513110324111311
6531432001043
7100613116035
oct16777325763
95168022300
102013113331
11943393929
12482230183
132610b9028
1415150dc55
15bbb03056
hex77fdabf3

2013113331 has 12 divisors (see below), whose sum is σ = 3015528152. Its totient is φ = 1342075392.

The previous prime is 2013113321. The next prime is 2013113369. The reversal of 2013113331 is 1333113102.

It is a happy number.

2013113331 is a `hidden beast` number, since 20 + 1 + 311 + 3 + 331 = 666.

It is not a de Polignac number, because 2013113331 - 214 = 2013096947 is a prime.

It is a super-2 number, since 2×20131133312 = 8105250566899831122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013113321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4141966 + ... + 4142451.

Almost surely, 22013113331 is an apocalyptic number.

2013113331 is a deficient number, since it is larger than the sum of its proper divisors (1002414821).

2013113331 is an frugal number, since it uses more digits than its factorization.

2013113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284432 (or 8284420 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2013113331 is about 44867.7315116332. The cubic root of 2013113331 is about 1262.6686804779.

Adding to 2013113331 its reverse (1333113102), we get a palindrome (3346226433).

The spelling of 2013113331 in words is "two billion, thirteen million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 243 8284417 24853251 74559753 223679259 671037777 2013113331