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322312130017 is a prime number
BaseRepresentation
bin1001011000010110100…
…11001100110111100001
31010210221111010200002221
410230023103030313201
520240043401130032
6404022415311041
732200123621153
oct4541323146741
91123844120087
10322312130017
11114767881879
125257181b481
13245175378c7
1411858532ad3
1585b63e5597
hex4b0b4ccde1

322312130017 has 2 divisors, whose sum is σ = 322312130018. Its totient is φ = 322312130016.

The previous prime is 322312129999. The next prime is 322312130029. The reversal of 322312130017 is 710031213223.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320536013281 + 1776116736 = 566159^2 + 42144^2 .

It is an emirp because it is prime and its reverse (710031213223) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 322312130017 - 227 = 322177912289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 322312129973 and 322312130000.

It is not a weakly prime, because it can be changed into another prime (322312130047) 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, 161156065008 + 161156065009.

It is an arithmetic number, because the mean of its divisors is an integer number (161156065009).

Almost surely, 2322312130017 is an apocalyptic number.

It is an amenable number.

322312130017 is a deficient number, since it is larger than the sum of its proper divisors (1).

322312130017 is an equidigital number, since it uses as much as digits as its factorization.

322312130017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 322312130017 in words is "three hundred twenty-two billion, three hundred twelve million, one hundred thirty thousand, seventeen".