Search a number
-
+
2013123031 = 64716631871
BaseRepresentation
bin111011111111101…
…1101000111010111
312012022001020122021
41313333131013113
513110324414111
6531432114011
7100613156233
oct16777350727
95168036567
102013123031
119433a0147
12482235907
132610c057a
141515135c3
15bbb05d71
hex77fdd1d7

2013123031 has 8 divisors (see below), whose sum is σ = 2018525184. Its totient is φ = 2007729240.

The previous prime is 2013123023. The next prime is 2013123053. The reversal of 2013123031 is 1303213102.

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 2013123031 - 23 = 2013123023 is a prime.

It is a super-2 number, since 2×20131230312 = 8105328675885253922, 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 = 2013122996 and 2013123014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013123061) 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, 1075026 + ... + 1076896.

It is an arithmetic number, because the mean of its divisors is an integer number (252315648).

Almost surely, 22013123031 is an apocalyptic number.

2013123031 is a deficient number, since it is larger than the sum of its proper divisors (5402153).

2013123031 is a wasteful number, since it uses less digits than its factorization.

2013123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2013123031 is about 44867.8396070058. The cubic root of 2013123031 is about 1262.6707084920.

Adding to 2013123031 its reverse (1303213102), we get a palindrome (3316336133).

The spelling of 2013123031 in words is "two billion, thirteen million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 647 1663 1871 1075961 1210537 3111473 2013123031