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322230101328001 is a prime number
BaseRepresentation
bin100100101000100010000101…
…0101110011100000010000001
31120020220220012210111112020101
41021101010022232130002001
5314213404221414444001
63101154244233242401
7124605233205155566
oct11121041256340201
91506826183445211
10322230101328001
1193744022750819
1230182428b63401
1310aa5225621269
14598003d2c886d
15273be275d8a01
hex125110ab9c081

322230101328001 has 2 divisors, whose sum is σ = 322230101328002. Its totient is φ = 322230101328000.

The previous prime is 322230101327963. The next prime is 322230101328013. The reversal of 322230101328001 is 100823101032223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211807855104400 + 110422246223601 = 14553620^2 + 10508199^2 .

It is a cyclic number.

It is not a de Polignac number, because 322230101328001 - 27 = 322230101327873 is a prime.

It is not a weakly prime, because it can be changed into another prime (322230101328061) 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, 161115050664000 + 161115050664001.

It is an arithmetic number, because the mean of its divisors is an integer number (161115050664001).

Almost surely, 2322230101328001 is an apocalyptic number.

It is an amenable number.

322230101328001 is a deficient number, since it is larger than the sum of its proper divisors (1).

322230101328001 is an equidigital number, since it uses as much as digits as its factorization.

322230101328001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 322230101328001 in words is "three hundred twenty-two trillion, two hundred thirty billion, one hundred one million, three hundred twenty-eight thousand, one".