Search a number
-
+
100598000033 is a prime number
BaseRepresentation
bin101110110110000011…
…0111010100110100001
3100121122211212220002002
41131230012322212201
53122011042000113
6114114124133345
710160624614556
oct1355406724641
9317584786062
10100598000033
1139732a48403
12175b6097255
139642687c0b
144c24646a2d
15293b9aec58
hex176c1ba9a1

100598000033 has 2 divisors, whose sum is σ = 100598000034. Its totient is φ = 100598000032.

The previous prime is 100598000017. The next prime is 100598000053. The reversal of 100598000033 is 330000895001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96955636129 + 3642363904 = 311377^2 + 60352^2 .

It is a cyclic number.

It is not a de Polignac number, because 100598000033 - 24 = 100598000017 is a prime.

It is a super-2 number, since 2×1005980000332 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100598000053) 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, 50299000016 + 50299000017.

It is an arithmetic number, because the mean of its divisors is an integer number (50299000017).

Almost surely, 2100598000033 is an apocalyptic number.

It is an amenable number.

100598000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100598000033 is an equidigital number, since it uses as much as digits as its factorization.

100598000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

Adding to 100598000033 its reverse (330000895001), we get a palindrome (430598895034).

The spelling of 100598000033 in words is "one hundred billion, five hundred ninety-eight million, thirty-three", and thus it is an aban number.