Search a number
-
+
322313011020593 is a prime number
BaseRepresentation
bin100100101001001000101100…
…0100001110100001100110001
31120021012211012220201022002122
41021102101120201310030301
5314221234021310124333
63101300315251524025
7124614226611010145
oct11122213041641461
91507184186638078
10322313011020593
11937761a9046a1a
12301965072b9615
1310aacca950b768
14598406667d225
15273e17b25d798
hex1252458874331

322313011020593 has 2 divisors, whose sum is σ = 322313011020594. Its totient is φ = 322313011020592.

The previous prime is 322313011020563. The next prime is 322313011020601. The reversal of 322313011020593 is 395020110313223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238421022228544 + 83891988792049 = 15440888^2 + 9159257^2 .

It is an emirp because it is prime and its reverse (395020110313223) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 322313011020593 - 210 = 322313011019569 is a prime.

It is not a weakly prime, because it can be changed into another prime (322313011020523) 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, 161156505510296 + 161156505510297.

It is an arithmetic number, because the mean of its divisors is an integer number (161156505510297).

Almost surely, 2322313011020593 is an apocalyptic number.

It is an amenable number.

322313011020593 is a deficient number, since it is larger than the sum of its proper divisors (1).

322313011020593 is an equidigital number, since it uses as much as digits as its factorization.

322313011020593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 35.

The spelling of 322313011020593 in words is "three hundred twenty-two trillion, three hundred thirteen billion, eleven million, twenty thousand, five hundred ninety-three".