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102205314689 is a prime number
BaseRepresentation
bin101111100101111101…
…0010101011010000001
3100202210212022221021112
41133023322111122001
53133304030032224
6114541422333105
710245512561252
oct1371372253201
9322725287245
10102205314689
113a388265725
121798442a195
13983a68218a
144d37cc2b29
1529d2b5630e
hex17cbe95681

102205314689 has 2 divisors, whose sum is σ = 102205314690. Its totient is φ = 102205314688.

The previous prime is 102205314599. The next prime is 102205314697. The reversal of 102205314689 is 986413502201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100321060225 + 1884254464 = 316735^2 + 43408^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102205314689 is a prime.

It is not a weakly prime, because it can be changed into another prime (102205314089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51102657344 + 51102657345.

It is an arithmetic number, because the mean of its divisors is an integer number (51102657345).

Almost surely, 2102205314689 is an apocalyptic number.

It is an amenable number.

102205314689 is a deficient number, since it is larger than the sum of its proper divisors (1).

102205314689 is an equidigital number, since it uses as much as digits as its factorization.

102205314689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 102205314689 in words is "one hundred two billion, two hundred five million, three hundred fourteen thousand, six hundred eighty-nine".