Search a number
-
+
10322313300349 is a prime number
BaseRepresentation
bin1001011000110101100111…
…0100010100100101111101
31100112210200202120101022221
42112031121310110211331
52323110044201102344
633542001045405341
72113522355241511
oct226153164244575
940483622511287
1010322313300349
11331a739835106
1211a8649a09851
1359b50b9b2a1b
14279861888141
1512d7914ba184
hex96359d1497d

10322313300349 has 2 divisors, whose sum is σ = 10322313300350. Its totient is φ = 10322313300348.

The previous prime is 10322313300263. The next prime is 10322313300359. The reversal of 10322313300349 is 94300331322301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5599645451449 + 4722667848900 = 2366357^2 + 2173170^2 .

It is a cyclic number.

It is not a de Polignac number, because 10322313300349 - 225 = 10322279745917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10322313300359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5161156650174 + 5161156650175.

It is an arithmetic number, because the mean of its divisors is an integer number (5161156650175).

Almost surely, 210322313300349 is an apocalyptic number.

It is an amenable number.

10322313300349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10322313300349 is an equidigital number, since it uses as much as digits as its factorization.

10322313300349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 34.

The spelling of 10322313300349 in words is "ten trillion, three hundred twenty-two billion, three hundred thirteen million, three hundred thousand, three hundred forty-nine".