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102565213 is a prime number
BaseRepresentation
bin1100001110100…
…00010101011101
321010222212000121
412013100111131
5202224041323
614102154541
72353534642
oct607202535
9233885017
10102565213
1152993843
122a422a51
131833129a
14d89bdc9
15900ea5d
hex61d055d

102565213 has 2 divisors, whose sum is σ = 102565214. Its totient is φ = 102565212.

The previous prime is 102565189. The next prime is 102565247. The reversal of 102565213 is 312565201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97357689 + 5207524 = 9867^2 + 2282^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102565213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102565273) 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, 51282606 + 51282607.

It is an arithmetic number, because the mean of its divisors is an integer number (51282607).

Almost surely, 2102565213 is an apocalyptic number.

It is an amenable number.

102565213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102565213 is an equidigital number, since it uses as much as digits as its factorization.

102565213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 102565213 is about 10127.4484940680. The cubic root of 102565213 is about 468.0943100778.

The spelling of 102565213 in words is "one hundred two million, five hundred sixty-five thousand, two hundred thirteen".