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102214332329 = 1371433520649
BaseRepresentation
bin101111100110001110…
…0101110111110101001
3100202211111022002011012
41133030130232332221
53133313332113304
6114542343513305
710245652326614
oct1371434567651
9322744262135
10102214332329
113a39236481a
1217987458835
13983c4bb865
144d3918d17b
1529d383816e
hex17cc72efa9

102214332329 has 8 divisors (see below), whose sum is σ = 103032469800. Its totient is φ = 101397239296.

The previous prime is 102214332317. The next prime is 102214332359. The reversal of 102214332329 is 923233412201.

It can be written as a sum of positive squares in 4 ways, for example, as 11659680400 + 90554651929 = 107980^2 + 300923^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102214332329 - 24 = 102214332313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102214332295 and 102214332304.

It is not an unprimeable number, because it can be changed into a prime (102214332359) 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 in 7 ways as a sum of consecutive naturals, for example, 64004 + ... + 456645.

It is an arithmetic number, because the mean of its divisors is an integer number (12879058725).

Almost surely, 2102214332329 is an apocalyptic number.

It is an amenable number.

102214332329 is a deficient number, since it is larger than the sum of its proper divisors (818137471).

102214332329 is a wasteful number, since it uses less digits than its factorization.

102214332329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522219.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 102214332329 in words is "one hundred two billion, two hundred fourteen million, three hundred thirty-two thousand, three hundred twenty-nine".

Divisors: 1 137 1433 196321 520649 71328913 746090017 102214332329