Search a number
-
+
112936746113 is a prime number
BaseRepresentation
bin110100100101110001…
…1011111110010000001
3101210111202102010200122
41221023203133302001
53322243301333423
6123514334230025
711105451334322
oct1511343376201
9353452363618
10112936746113
1143994937a14
1219a7a355315
13a85aa653b9
145675242449
152e0ed448c8
hex1a4b8dfc81

112936746113 has 2 divisors, whose sum is σ = 112936746114. Its totient is φ = 112936746112.

The previous prime is 112936746031. The next prime is 112936746137. The reversal of 112936746113 is 311647639211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112139926129 + 796819984 = 334873^2 + 28228^2 .

It is a cyclic number.

It is not a de Polignac number, because 112936746113 - 218 = 112936483969 is a prime.

It is not a weakly prime, because it can be changed into another prime (112936746173) 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, 56468373056 + 56468373057.

It is an arithmetic number, because the mean of its divisors is an integer number (56468373057).

Almost surely, 2112936746113 is an apocalyptic number.

It is an amenable number.

112936746113 is a deficient number, since it is larger than the sum of its proper divisors (1).

112936746113 is an equidigital number, since it uses as much as digits as its factorization.

112936746113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 163296, while the sum is 44.

The spelling of 112936746113 in words is "one hundred twelve billion, nine hundred thirty-six million, seven hundred forty-six thousand, one hundred thirteen".