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2013002031 = 31395418923
BaseRepresentation
bin111011111111011…
…1111100100101111
312012021211002122210
41313332333210233
513110312031111
6531425341503
7100612143405
oct16776774457
95167732583
102013002031
11943318247
12482197893
1326107a481
141514c1475
15bbad00a6
hex77fbf92f

2013002031 has 16 divisors (see below), whose sum is σ = 2708612480. Its totient is φ = 1329734880.

The previous prime is 2013002023. The next prime is 2013002041. The reversal of 2013002031 is 1302003102.

It is a happy number.

It is not a de Polignac number, because 2013002031 - 23 = 2013002023 is a prime.

It is a super-2 number, since 2×20130020312 = 8104354353620249922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013001998 and 2013002016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013002041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221136 + ... + 230058.

It is an arithmetic number, because the mean of its divisors is an integer number (169288280).

Almost surely, 22013002031 is an apocalyptic number.

2013002031 is a deficient number, since it is larger than the sum of its proper divisors (695610449).

2013002031 is a wasteful number, since it uses less digits than its factorization.

2013002031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9606.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2013002031 is about 44866.4911821729. The cubic root of 2013002031 is about 1262.6454101182.

Adding to 2013002031 its reverse (1302003102), we get a palindrome (3315005133).

The spelling of 2013002031 in words is "two billion, thirteen million, two thousand, thirty-one".

Divisors: 1 3 139 417 541 1623 8923 26769 75199 225597 1240297 3720891 4827343 14482029 671000677 2013002031