Search a number
-
+
122321030033 is a prime number
BaseRepresentation
bin111000111101011100…
…1101100101110010001
3102200201202121011010202
41301322321230232101
54001003140430113
6132105444104545
711560141412546
oct1617271545621
9380652534122
10122321030033
114797003a364
121b859095155
13b6c5013717
145cc56cabcd
1532adb2d258
hex1c7ae6cb91

122321030033 has 2 divisors, whose sum is σ = 122321030034. Its totient is φ = 122321030032.

The previous prime is 122321030017. The next prime is 122321030081. The reversal of 122321030033 is 330030123221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91586732689 + 30734297344 = 302633^2 + 175312^2 .

It is a cyclic number.

It is not a de Polignac number, because 122321030033 - 24 = 122321030017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122321029987 and 122321030014.

It is not a weakly prime, because it can be changed into another prime (122321030003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61160515016 + 61160515017.

It is an arithmetic number, because the mean of its divisors is an integer number (61160515017).

Almost surely, 2122321030033 is an apocalyptic number.

It is an amenable number.

122321030033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122321030033 is an equidigital number, since it uses as much as digits as its factorization.

122321030033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 122321030033 its reverse (330030123221), we get a palindrome (452351153254).

The spelling of 122321030033 in words is "one hundred twenty-two billion, three hundred twenty-one million, thirty thousand, thirty-three".