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2015116131 = 37217806369
BaseRepresentation
bin111100000011100…
…0011101101100011
312012102210111122210
41320013003231203
513111332204011
6531542533203
7100636130100
oct17007035543
95172714583
102015116131
11944531636
12482a37203
1326163a812
141518b1aa7
15bbd9b6a6
hex781c3b63

2015116131 has 24 divisors (see below), whose sum is σ = 3309342480. Its totient is φ = 1083758592.

The previous prime is 2015116123. The next prime is 2015116133. The reversal of 2015116131 is 1316115102.

It is a happy number.

It is not a de Polignac number, because 2015116131 - 23 = 2015116123 is a prime.

It is a super-2 number, since 2×20151161312 = 8121386042832818322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2015116098 and 2015116107.

It is not an unprimeable number, because it can be changed into a prime (2015116133) 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, 400686 + ... + 405683.

It is an arithmetic number, because the mean of its divisors is an integer number (137889270).

Almost surely, 22015116131 is an apocalyptic number.

2015116131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2015116131 is a deficient number, since it is larger than the sum of its proper divisors (1294226349).

2015116131 is a wasteful number, since it uses less digits than its factorization.

2015116131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806403 (or 806396 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 2015116131 is about 44890.0448986187. The cubic root of 2015116131 is about 1263.0872750032.

The spelling of 2015116131 in words is "two billion, fifteen million, one hundred sixteen thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 2499 806369 2419107 5644583 13708273 16933749 39512081 41124819 95957911 118536243 287873733 671705377 2015116131