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103122102133 is a prime number
BaseRepresentation
bin110000000001010001…
…1100110011101110101
3100212011202102120020001
41200002203212131311
53142143224232013
6115212412311301
710310314256041
oct1400243463565
9325152376201
10103122102133
113a8088136a6
1217b9b472531
1399555a595b
144dc396d021
152a3839bddd
hex18028e6775

103122102133 has 2 divisors, whose sum is σ = 103122102134. Its totient is φ = 103122102132.

The previous prime is 103122102107. The next prime is 103122102241. The reversal of 103122102133 is 331201221301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52316040529 + 50806061604 = 228727^2 + 225402^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103122102133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103122102133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103122109133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51561051066 + 51561051067.

It is an arithmetic number, because the mean of its divisors is an integer number (51561051067).

Almost surely, 2103122102133 is an apocalyptic number.

It is an amenable number.

103122102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

103122102133 is an equidigital number, since it uses as much as digits as its factorization.

103122102133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 103122102133 its reverse (331201221301), we get a palindrome (434323323434).

The spelling of 103122102133 in words is "one hundred three billion, one hundred twenty-two million, one hundred two thousand, one hundred thirty-three".