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2013113021 = 17267103967
BaseRepresentation
bin111011111111101…
…1010101010111101
312012022000201220112
41313333122222331
513110324104041
6531431555405
7100613115113
oct16777325275
95168021815
102013113021
11943393677
1248222bb65
132610b8b4a
1415150dab3
15bbb02deb
hex77fdaabd

2013113021 has 12 divisors (see below), whose sum is σ = 2170435968. Its totient is φ = 1866397632.

The previous prime is 2013113017. The next prime is 2013113027. The reversal of 2013113021 is 1203113102.

It is not a de Polignac number, because 2013113021 - 22 = 2013113017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013112987 and 2013113005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013113027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32621 + ... + 71346.

It is an arithmetic number, because the mean of its divisors is an integer number (180869664).

Almost surely, 22013113021 is an apocalyptic number.

It is an amenable number.

2013113021 is a deficient number, since it is larger than the sum of its proper divisors (157322947).

2013113021 is a wasteful number, since it uses less digits than its factorization.

2013113021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104068 (or 104051 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2013113021 is about 44867.7280570345. The cubic root of 2013113021 is about 1262.6686156650.

Adding to 2013113021 its reverse (1203113102), we get a palindrome (3216226123).

The spelling of 2013113021 in words is "two billion, thirteen million, one hundred thirteen thousand, twenty-one".

Divisors: 1 17 67 289 1139 19363 103967 1767439 6965789 30046463 118418413 2013113021