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102124830209 is a prime number
BaseRepresentation
bin101111100011100011…
…1010011111000000001
3100202121020212220022212
41133013013103320001
53133122424031314
6114525425311505
710243514506523
oct1370707237001
9322536786285
10102124830209
113a346893526
1217961495595
139826ab241c
144d2b331a13
1529caa58e3e
hex17c71d3e01

102124830209 has 2 divisors, whose sum is σ = 102124830210. Its totient is φ = 102124830208.

The previous prime is 102124830163. The next prime is 102124830211. The reversal of 102124830209 is 902038421201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56999175025 + 45125655184 = 238745^2 + 212428^2 .

It is a cyclic number.

It is not a de Polignac number, because 102124830209 - 228 = 101856394753 is a prime.

Together with 102124830211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102124830289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51062415104 + 51062415105.

It is an arithmetic number, because the mean of its divisors is an integer number (51062415105).

Almost surely, 2102124830209 is an apocalyptic number.

It is an amenable number.

102124830209 is a deficient number, since it is larger than the sum of its proper divisors (1).

102124830209 is an equidigital number, since it uses as much as digits as its factorization.

102124830209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 102124830209 in words is "one hundred two billion, one hundred twenty-four million, eight hundred thirty thousand, two hundred nine".