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213765640997 is a prime number
BaseRepresentation
bin1100011100010101101…
…1001101001100100101
3202102202200202200221212
43013011123031030211
512000243001002442
6242111431321205
721305211653066
oct3070533151445
9672680680855
10213765640997
118272614a007
1235519820205
131720920398c
14a4bc3d056d
155861c12a82
hex31c56cd325

213765640997 has 2 divisors, whose sum is σ = 213765640998. Its totient is φ = 213765640996.

The previous prime is 213765640987. The next prime is 213765641017. The reversal of 213765640997 is 799046567312.

213765640997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153978544801 + 59787096196 = 392401^2 + 244514^2 .

It is a cyclic number.

It is not a de Polignac number, because 213765640997 - 24 = 213765640981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213765640937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106882820498 + 106882820499.

It is an arithmetic number, because the mean of its divisors is an integer number (106882820499).

Almost surely, 2213765640997 is an apocalyptic number.

It is an amenable number.

213765640997 is a deficient number, since it is larger than the sum of its proper divisors (1).

213765640997 is an equidigital number, since it uses as much as digits as its factorization.

213765640997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17146080, while the sum is 59.

The spelling of 213765640997 in words is "two hundred thirteen billion, seven hundred sixty-five million, six hundred forty thousand, nine hundred ninety-seven".