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102100242133 is a prime number
BaseRepresentation
bin101111100010110100…
…1100000111011010101
3100202112112121200211101
41133011221200323111
53133100130222013
6114523150310101
710243065511261
oct1370551407325
9322475550741
10102100242133
113a333a1a0aa
12179551b8331
139821983876
144d27d710a1
1529c87ed8dd
hex17c5a60ed5

102100242133 has 2 divisors, whose sum is σ = 102100242134. Its totient is φ = 102100242132.

The previous prime is 102100242089. The next prime is 102100242151. The reversal of 102100242133 is 331242001201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68480085969 + 33620156164 = 261687^2 + 183358^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102100242133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102100242133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100242193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050121066 + 51050121067.

It is an arithmetic number, because the mean of its divisors is an integer number (51050121067).

Almost surely, 2102100242133 is an apocalyptic number.

It is an amenable number.

102100242133 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100242133 is an equidigital number, since it uses as much as digits as its factorization.

102100242133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102100242133 its reverse (331242001201), we get a palindrome (433342243334).

The spelling of 102100242133 in words is "one hundred two billion, one hundred million, two hundred forty-two thousand, one hundred thirty-three".