Search a number
-
+
103313110133 is a prime number
BaseRepresentation
bin110000000110111110…
…0001111010001110101
3100212200001211202221102
41200031330033101311
53143041124011013
6115243354255445
710315123642502
oct1401574172165
9325601752842
10103313110133
113a8a6614852
1218033427585
13998603213c
1450010904a9
152a4a02bd58
hex180df0f475

103313110133 has 2 divisors, whose sum is σ = 103313110134. Its totient is φ = 103313110132.

The previous prime is 103313110097. The next prime is 103313110193. The reversal of 103313110133 is 331011313301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53672378929 + 49640731204 = 231673^2 + 222802^2 .

It is a cyclic number.

It is not a de Polignac number, because 103313110133 - 212 = 103313106037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103313110193) 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, 51656555066 + 51656555067.

It is an arithmetic number, because the mean of its divisors is an integer number (51656555067).

Almost surely, 2103313110133 is an apocalyptic number.

It is an amenable number.

103313110133 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313110133 is an equidigital number, since it uses as much as digits as its factorization.

103313110133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 103313110133 its reverse (331011313301), we get a palindrome (434324423434).

The spelling of 103313110133 in words is "one hundred three billion, three hundred thirteen million, one hundred ten thousand, one hundred thirty-three".