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2013212131 = 71716917749
BaseRepresentation
bin111011111111111…
…0010110111100011
312012022012202212021
41313333302313203
513110340242011
6531434042311
7100614010060
oct16777626743
95168182767
102013212131
11943451087
12482279397
13261121ca8
14151537c67
15bbb22471
hex77ff2de3

2013212131 has 8 divisors (see below), whose sum is σ = 2436156000. Its totient is φ = 1624103808.

The previous prime is 2013212119. The next prime is 2013212189. The reversal of 2013212131 is 1312123102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013212131 - 221 = 2011114979 is a prime.

It is a super-2 number, since 2×20132121312 = 8106046168811122322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013212731) 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 7 ways as a sum of consecutive naturals, for example, 8458756 + ... + 8458993.

It is an arithmetic number, because the mean of its divisors is an integer number (304519500).

Almost surely, 22013212131 is an apocalyptic number.

2013212131 is a deficient number, since it is larger than the sum of its proper divisors (422943869).

2013212131 is a wasteful number, since it uses less digits than its factorization.

2013212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16917773.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2013212131 is about 44868.8325121125. The cubic root of 2013212131 is about 1262.6893366465.

Adding to 2013212131 its reverse (1312123102), we get a palindrome (3325335233).

The spelling of 2013212131 in words is "two billion, thirteen million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 7 17 119 16917749 118424243 287601733 2013212131