Search a number
-
+
2144125322113 is a prime number
BaseRepresentation
bin11111001100110111110…
…101000000001110000001
321120222100210001210210011
4133030313311000032001
5240112132040301423
64320555250504521
7310623265346365
oct37146765001601
97528323053704
102144125322113
11757355935545
122a7667295141
131272619b6268
1475ac1d352a5
153ab90e7bb0d
hex1f337d40381

2144125322113 has 2 divisors, whose sum is σ = 2144125322114. Its totient is φ = 2144125322112.

The previous prime is 2144125322111. The next prime is 2144125322153. The reversal of 2144125322113 is 3112235214412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1424831357569 + 719293964544 = 1193663^2 + 848112^2 .

It is a cyclic number.

It is not a de Polignac number, because 2144125322113 - 21 = 2144125322111 is a prime.

Together with 2144125322111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2144125322111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1072062661056 + 1072062661057.

It is an arithmetic number, because the mean of its divisors is an integer number (1072062661057).

Almost surely, 22144125322113 is an apocalyptic number.

It is an amenable number.

2144125322113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2144125322113 is an equidigital number, since it uses as much as digits as its factorization.

2144125322113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11520, while the sum is 31.

The spelling of 2144125322113 in words is "two trillion, one hundred forty-four billion, one hundred twenty-five million, three hundred twenty-two thousand, one hundred thirteen".