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102133310393 is a prime number
BaseRepresentation
bin101111100011110011…
…1101010001110111001
3100202121211211201221202
41133013213222032321
53133132111413033
6114530331143545
710243646546222
oct1370747521671
9322554751852
10102133310393
113a350655844
12179642a4bb5
13982879129a
144d2c4dc249
1529cb6818e8
hex17c79ea3b9

102133310393 has 2 divisors, whose sum is σ = 102133310394. Its totient is φ = 102133310392.

The previous prime is 102133310347. The next prime is 102133310407. The reversal of 102133310393 is 393013331201.

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., 69890439424 + 32242870969 = 264368^2 + 179563^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133310393 - 214 = 102133294009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102133010393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066655196 + 51066655197.

It is an arithmetic number, because the mean of its divisors is an integer number (51066655197).

Almost surely, 2102133310393 is an apocalyptic number.

It is an amenable number.

102133310393 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133310393 is an equidigital number, since it uses as much as digits as its factorization.

102133310393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 29.

Adding to 102133310393 its reverse (393013331201), we get a palindrome (495146641594).

The spelling of 102133310393 in words is "one hundred two billion, one hundred thirty-three million, three hundred ten thousand, three hundred ninety-three".