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102856393 is a prime number
BaseRepresentation
bin1100010000101…
…11011011001001
321011112122110001
412020113123021
5202312401033
614112323001
72356156603
oct610273311
9234478401
10102856393
1153072592
122a543461
1318403993
14d936173
15906ae7d
hex62176c9

102856393 has 2 divisors, whose sum is σ = 102856394. Its totient is φ = 102856392.

The previous prime is 102856373. The next prime is 102856421. The reversal of 102856393 is 393658201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91546624 + 11309769 = 9568^2 + 3363^2 .

It is an emirp because it is prime and its reverse (393658201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102856393 is a prime.

It is not a weakly prime, because it can be changed into another prime (102856333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51428196 + 51428197.

It is an arithmetic number, because the mean of its divisors is an integer number (51428197).

Almost surely, 2102856393 is an apocalyptic number.

It is an amenable number.

102856393 is a deficient number, since it is larger than the sum of its proper divisors (1).

102856393 is an equidigital number, since it uses as much as digits as its factorization.

102856393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 102856393 is about 10141.8140882191. The cubic root of 102856393 is about 468.5368607780.

The spelling of 102856393 in words is "one hundred two million, eight hundred fifty-six thousand, three hundred ninety-three".