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2013130119 = 371121360943
BaseRepresentation
bin111011111111101…
…1110110110000111
312012022001121100210
41313333132312013
513110330130434
6531432210503
7100613216010
oct16777366607
95168047323
102013130119
119433a5500
12482239a33
132610c3870
14151516007
15bbb07ee9
hex77fded87

2013130119 has 48 divisors (see below), whose sum is σ = 3631287296. Its totient is φ = 965321280.

The previous prime is 2013130109. The next prime is 2013130127. The reversal of 2013130119 is 9110313102.

It is not a de Polignac number, because 2013130119 - 29 = 2013129607 is a prime.

It is a super-2 number, since 2×20131301192 = 8105385752049908322, 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 = 2013130095 and 2013130104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013130109) 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 47 ways as a sum of consecutive naturals, for example, 2562 + ... + 63504.

Almost surely, 22013130119 is an apocalyptic number.

2013130119 is a deficient number, since it is larger than the sum of its proper divisors (1618157177).

2013130119 is a wasteful number, since it uses less digits than its factorization.

2013130119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60988 (or 60977 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 2013130119 is about 44867.9185944701. The cubic root of 2013130119 is about 1262.6721904017.

The spelling of 2013130119 in words is "two billion, thirteen million, one hundred thirty thousand, one hundred nineteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 4719 11011 33033 60943 182829 426601 670373 792259 1279803 2011119 2376777 4692611 5545813 7374103 8714849 14077833 16637439 22122309 26144547 51618721 61003943 95863339 154856163 183011829 287590017 671043373 2013130119