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2224357121137 is a prime number
BaseRepresentation
bin100000010111100110000…
…001000001110001110001
321212122110021100111021011
4200113212001001301301
5242420440410334022
64421504444430521
7316463433366034
oct40274601016161
97778407314234
102224357121137
11788387673668
122bb118848441
131319a9b5a158
14799337ad01b
153ccd9986977
hex205e6041c71

2224357121137 has 2 divisors, whose sum is σ = 2224357121138. Its totient is φ = 2224357121136.

The previous prime is 2224357121131. The next prime is 2224357121149. The reversal of 2224357121137 is 7311217534222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1301433766416 + 922923354721 = 1140804^2 + 960689^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2224357121137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2224357121137.

It is not a weakly prime, because it can be changed into another prime (2224357121131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112178560568 + 1112178560569.

It is an arithmetic number, because the mean of its divisors is an integer number (1112178560569).

Almost surely, 22224357121137 is an apocalyptic number.

It is an amenable number.

2224357121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224357121137 is an equidigital number, since it uses as much as digits as its factorization.

2224357121137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 141120, while the sum is 40.

The spelling of 2224357121137 in words is "two trillion, two hundred twenty-four billion, three hundred fifty-seven million, one hundred twenty-one thousand, one hundred thirty-seven".