Search a number
-
+
102233232100133 is a prime number
BaseRepresentation
bin10111001111101100000111…
…011110111100101100100101
3111101222101211201111122222122
4113033230013132330230211
5101344442124404201013
61001233144245035325
730351051536606531
oct2717540736745445
9441871751448878
10102233232100133
112a63596333a922
12b57159a6b5b45
13450772488bc54
141b36187170bc1
15bc44c3489a08
hex5cfb077bcb25

102233232100133 has 2 divisors, whose sum is σ = 102233232100134. Its totient is φ = 102233232100132.

The previous prime is 102233232100063. The next prime is 102233232100171. The reversal of 102233232100133 is 331001232332201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91676756740804 + 10556475359329 = 9574798^2 + 3249073^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102233232100133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102233232100033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51116616050066 + 51116616050067.

It is an arithmetic number, because the mean of its divisors is an integer number (51116616050067).

Almost surely, 2102233232100133 is an apocalyptic number.

It is an amenable number.

102233232100133 is a deficient number, since it is larger than the sum of its proper divisors (1).

102233232100133 is an equidigital number, since it uses as much as digits as its factorization.

102233232100133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 102233232100133 its reverse (331001232332201), we get a palindrome (433234464432334).

The spelling of 102233232100133 in words is "one hundred two trillion, two hundred thirty-three billion, two hundred thirty-two million, one hundred thousand, one hundred thirty-three".