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112013007013 is a prime number
BaseRepresentation
bin110100001010001111…
…1101101100010100101
3101201010101020022212101
41220110133231202211
53313400312211023
6123242535252101
711043533564365
oct1502437554245
9351111208771
10112013007013
1143560471076
1219860b1a031
13a74157970b
1455c86a69a5
152da8bc91ad
hex1a147ed8a5

112013007013 has 2 divisors, whose sum is σ = 112013007014. Its totient is φ = 112013007012.

The previous prime is 112013007011. The next prime is 112013007047. The reversal of 112013007013 is 310700310211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107215643844 + 4797363169 = 327438^2 + 69263^2 .

It is a cyclic number.

It is not a de Polignac number, because 112013007013 - 21 = 112013007011 is a prime.

Together with 112013007011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112013007011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56006503506 + 56006503507.

It is an arithmetic number, because the mean of its divisors is an integer number (56006503507).

Almost surely, 2112013007013 is an apocalyptic number.

It is an amenable number.

112013007013 is a deficient number, since it is larger than the sum of its proper divisors (1).

112013007013 is an equidigital number, since it uses as much as digits as its factorization.

112013007013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 112013007013 its reverse (310700310211), we get a palindrome (422713317224).

The spelling of 112013007013 in words is "one hundred twelve billion, thirteen million, seven thousand, thirteen".