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332122202332801 is a prime number
BaseRepresentation
bin100101110000100000011100…
…1111001000101111010000001
31121112221120110022201220110021
41023201000321321011322001
5322012442232244122201
63134210500004333441
7126646015533313156
oct11341007171057201
91545846408656407
10332122202332801
1196908264899731
12312bb6116a4281
1311341cb262cb9a
145c02b2c2a222d
15285e3d9ae8ea1
hex12e1039e45e81

332122202332801 has 2 divisors, whose sum is σ = 332122202332802. Its totient is φ = 332122202332800.

The previous prime is 332122202332787. The next prime is 332122202332831. The reversal of 332122202332801 is 108233202221233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182629520374401 + 149492681958400 = 13514049^2 + 12226720^2 .

It is an emirp because it is prime and its reverse (108233202221233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 332122202332801 - 27 = 332122202332673 is a prime.

It is a super-2 number, since 2×3321222023328012 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332122202332831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166061101166400 + 166061101166401.

It is an arithmetic number, because the mean of its divisors is an integer number (166061101166401).

Almost surely, 2332122202332801 is an apocalyptic number.

It is an amenable number.

332122202332801 is a deficient number, since it is larger than the sum of its proper divisors (1).

332122202332801 is an equidigital number, since it uses as much as digits as its factorization.

332122202332801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 332122202332801 in words is "three hundred thirty-two trillion, one hundred twenty-two billion, two hundred two million, three hundred thirty-two thousand, eight hundred one".