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20130013 = 167120539
BaseRepresentation
bin100110011001…
…0100011011101
31101212201012001
41030302203131
520123130023
61555242301
7333050041
oct114624335
941781161
1020130013
11103a9a82
1268a9391
13422a667
142960021
151b796ad
hex13328dd

20130013 has 4 divisors (see below), whose sum is σ = 20250720. Its totient is φ = 20009308.

The previous prime is 20130001. The next prime is 20130029. The reversal of 20130013 is 31003102.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 20130013 - 25 = 20129981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60103 + ... + 60436.

It is an arithmetic number, because the mean of its divisors is an integer number (5062680).

Almost surely, 220130013 is an apocalyptic number.

It is an amenable number.

20130013 is a deficient number, since it is larger than the sum of its proper divisors (120707).

20130013 is a wasteful number, since it uses less digits than its factorization.

20130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120706.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 20130013 is about 4486.6483035781. The cubic root of 20130013 is about 272.0286743487.

Adding to 20130013 its reverse (31003102), we get a palindrome (51133115).

The spelling of 20130013 in words is "twenty million, one hundred thirty thousand, thirteen".

Divisors: 1 167 120539 20130013