Search a number
-
+
100133203333 is a prime number
BaseRepresentation
bin101110101000001100…
…1110110110110000101
3100120110110021202212111
41131100121312312011
53120033100001313
6114000042021021
710143252120262
oct1352031666605
9316413252774
10100133203333
11395146457a9
12174a64a7771
13959a2aa297
144bbca16269
152910c9c43d
hex1750676d85

100133203333 has 2 divisors, whose sum is σ = 100133203334. Its totient is φ = 100133203332.

The previous prime is 100133203243. The next prime is 100133203363. The reversal of 100133203333 is 333302331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100069730244 + 63473089 = 316338^2 + 7967^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100133203333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133203363) 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, 50066601666 + 50066601667.

It is an arithmetic number, because the mean of its divisors is an integer number (50066601667).

Almost surely, 2100133203333 is an apocalyptic number.

It is an amenable number.

100133203333 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133203333 is an equidigital number, since it uses as much as digits as its factorization.

100133203333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 100133203333 its reverse (333302331001), we get a palindrome (433435534334).

The spelling of 100133203333 in words is "one hundred billion, one hundred thirty-three million, two hundred three thousand, three hundred thirty-three".