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213765641017 is a prime number
BaseRepresentation
bin1100011100010101101…
…1001101001100111001
3202102202200202200222121
43013011123031030321
512000243001003032
6242111431321241
721305211653125
oct3070533151471
9672680680877
10213765641017
118272614a025
1235519820221
13172092039a6
14a4bc3d0585
155861c12a97
hex31c56cd339

213765641017 has 2 divisors, whose sum is σ = 213765641018. Its totient is φ = 213765641016.

The previous prime is 213765640997. The next prime is 213765641027. The reversal of 213765641017 is 710146567312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199787544576 + 13978096441 = 446976^2 + 118229^2 .

It is a cyclic number.

It is not a de Polignac number, because 213765641017 - 231 = 211618157369 is a prime.

It is not a weakly prime, because it can be changed into another prime (213765641027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106882820508 + 106882820509.

It is an arithmetic number, because the mean of its divisors is an integer number (106882820509).

Almost surely, 2213765641017 is an apocalyptic number.

It is an amenable number.

213765641017 is a deficient number, since it is larger than the sum of its proper divisors (1).

213765641017 is an equidigital number, since it uses as much as digits as its factorization.

213765641017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 213765641017 in words is "two hundred thirteen billion, seven hundred sixty-five million, six hundred forty-one thousand, seventeen".