Search a number
-
+
100002332321 is a prime number
BaseRepresentation
bin101110100100010011…
…0100111111010100001
3100120010100000211120222
41131020212213322201
53114301044113241
6113535045012425
710140102541163
oct1351046477241
9316110024528
10100002332321
1139457789441
121746a6b4115
139579148208
144ba94aa933
15290454aa4b
hex17489a7ea1

100002332321 has 2 divisors, whose sum is σ = 100002332322. Its totient is φ = 100002332320.

The previous prime is 100002332303. The next prime is 100002332351. The reversal of 100002332321 is 123233200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84486142225 + 15516190096 = 290665^2 + 124564^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002332321 - 222 = 99998138017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100002332321.

It is not a weakly prime, because it can be changed into another prime (100002332351) 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, 50001166160 + 50001166161.

It is an arithmetic number, because the mean of its divisors is an integer number (50001166161).

Almost surely, 2100002332321 is an apocalyptic number.

It is an amenable number.

100002332321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002332321 is an equidigital number, since it uses as much as digits as its factorization.

100002332321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100002332321 its reverse (123233200001), we get a palindrome (223235532322).

The spelling of 100002332321 in words is "one hundred billion, two million, three hundred thirty-two thousand, three hundred twenty-one".