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102205314089 is a prime number
BaseRepresentation
bin101111100101111101…
…0010101010000101001
3100202210212022220110022
41133023322111100221
53133304030022324
6114541422330225
710245512556434
oct1371372252051
9322725286408
10102205314089
113a38826522a
1217984429975
13983a681b18
144d37cc281b
1529d2b5605e
hex17cbe95429

102205314089 has 2 divisors, whose sum is σ = 102205314090. Its totient is φ = 102205314088.

The previous prime is 102205313993. The next prime is 102205314137. The reversal of 102205314089 is 980413502201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70720360489 + 31484953600 = 265933^2 + 177440^2 .

It is a cyclic number.

It is not a de Polignac number, because 102205314089 - 212 = 102205309993 is a prime.

It is a super-2 number, since 2×1022053140892 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102205314689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51102657044 + 51102657045.

It is an arithmetic number, because the mean of its divisors is an integer number (51102657045).

Almost surely, 2102205314089 is an apocalyptic number.

It is an amenable number.

102205314089 is a deficient number, since it is larger than the sum of its proper divisors (1).

102205314089 is an equidigital number, since it uses as much as digits as its factorization.

102205314089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 102205314089 in words is "one hundred two billion, two hundred five million, three hundred fourteen thousand, eighty-nine".