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122621107417 is a prime number
BaseRepresentation
bin111001000110011001…
…0011001110011011001
3102201111200020122220221
41302030302121303121
54002112000414132
6132155323520041
711600444133664
oct1621462316331
9381450218827
10122621107417
11480044669a6
121b921689021
13b74223a7c3
145d134c06db
1532ca154e97
hex1c8cc99cd9

122621107417 has 2 divisors, whose sum is σ = 122621107418. Its totient is φ = 122621107416.

The previous prime is 122621107409. The next prime is 122621107493. The reversal of 122621107417 is 714701126221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111029570521 + 11591536896 = 333211^2 + 107664^2 .

It is a cyclic number.

It is not a de Polignac number, because 122621107417 - 23 = 122621107409 is a prime.

It is not a weakly prime, because it can be changed into another prime (122621108417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61310553708 + 61310553709.

It is an arithmetic number, because the mean of its divisors is an integer number (61310553709).

Almost surely, 2122621107417 is an apocalyptic number.

It is an amenable number.

122621107417 is a deficient number, since it is larger than the sum of its proper divisors (1).

122621107417 is an equidigital number, since it uses as much as digits as its factorization.

122621107417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 122621107417 in words is "one hundred twenty-two billion, six hundred twenty-one million, one hundred seven thousand, four hundred seventeen".