Search a number
-
+
242023636605161 is a prime number
BaseRepresentation
bin110111000001111010000100…
…111000110001100011101001
31011201221020022100211212112202
4313001322010320301203221
5223210303401432331121
62214424042421145545
7101656426222613615
oct6701720470614351
91151836270755482
10242023636605161
1170130714358534
122318997625b2b5
13a507967020cb8
1443aa013c32345
151cea8cbde740b
hexdc1e84e318e9

242023636605161 has 2 divisors, whose sum is σ = 242023636605162. Its totient is φ = 242023636605160.

The previous prime is 242023636605139. The next prime is 242023636605203. The reversal of 242023636605161 is 161506636320242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174439535493136 + 67584101112025 = 13207556^2 + 8220955^2 .

It is a cyclic number.

It is not a de Polignac number, because 242023636605161 - 26 = 242023636605097 is a prime.

It is not a weakly prime, because it can be changed into another prime (242023636602161) 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 as a sum of consecutive naturals, namely, 121011818302580 + 121011818302581.

It is an arithmetic number, because the mean of its divisors is an integer number (121011818302581).

Almost surely, 2242023636605161 is an apocalyptic number.

It is an amenable number.

242023636605161 is a deficient number, since it is larger than the sum of its proper divisors (1).

242023636605161 is an equidigital number, since it uses as much as digits as its factorization.

242023636605161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1866240, while the sum is 47.

The spelling of 242023636605161 in words is "two hundred forty-two trillion, twenty-three billion, six hundred thirty-six million, six hundred five thousand, one hundred sixty-one".