Search a number
-
+
122556663001 is a prime number
BaseRepresentation
bin111001000100011110…
…0100100010011011001
3102201100011222112210201
41302020330210103121
54001444001204001
6132145102342201
711566032306253
oct1621074442331
9381304875721
10122556663001
1147a8104a953
121b903b8a961
13b731a95906
145d08b06cd3
1532c4675501
hex1c88f244d9

122556663001 has 2 divisors, whose sum is σ = 122556663002. Its totient is φ = 122556663000.

The previous prime is 122556662957. The next prime is 122556663013. The reversal of 122556663001 is 100366655221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78540623001 + 44016040000 = 280251^2 + 209800^2 .

It is a cyclic number.

It is not a de Polignac number, because 122556663001 - 215 = 122556630233 is a prime.

It is not a weakly prime, because it can be changed into another prime (122566663001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61278331500 + 61278331501.

It is an arithmetic number, because the mean of its divisors is an integer number (61278331501).

Almost surely, 2122556663001 is an apocalyptic number.

It is an amenable number.

122556663001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122556663001 is an equidigital number, since it uses as much as digits as its factorization.

122556663001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 122556663001 in words is "one hundred twenty-two billion, five hundred fifty-six million, six hundred sixty-three thousand, one".