Search a number
-
+
102201113093 is a prime number
BaseRepresentation
bin101111100101110101…
…0010011101000000101
3100202210120102110202212
41133023222103220011
53133301441104333
6114541152313205
710245432061562
oct1371352235005
9322716373685
10102201113093
113a385955a32
1217982b42805
139839840921
144d3750b869
1529d25c6448
hex17cba93a05

102201113093 has 2 divisors, whose sum is σ = 102201113094. Its totient is φ = 102201113092.

The previous prime is 102201113089. The next prime is 102201113101. The reversal of 102201113093 is 390311102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75225678529 + 26975434564 = 274273^2 + 164242^2 .

It is an emirp because it is prime and its reverse (390311102201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102201113093 - 22 = 102201113089 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201113293) 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, 51100556546 + 51100556547.

It is an arithmetic number, because the mean of its divisors is an integer number (51100556547).

Almost surely, 2102201113093 is an apocalyptic number.

It is an amenable number.

102201113093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201113093 is an equidigital number, since it uses as much as digits as its factorization.

102201113093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 102201113093 its reverse (390311102201), we get a palindrome (492512215294).

The spelling of 102201113093 in words is "one hundred two billion, two hundred one million, one hundred thirteen thousand, ninety-three".