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213331330109 is a prime number
BaseRepresentation
bin1100011010101110001…
…0011100010000111101
3202101122102112102102102
43012223202130100331
511443400310030414
6242000354434445
721261356246432
oct3065342342075
9671572472372
10213331330109
1182522a79897
1235418292a25
131716a23b1a1
14a47a857b89
155838a22ede
hex31ab89c43d

213331330109 has 2 divisors, whose sum is σ = 213331330110. Its totient is φ = 213331330108.

The previous prime is 213331330097. The next prime is 213331330123. The reversal of 213331330109 is 901033133312.

It is a happy number.

213331330109 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., 162830004484 + 50501325625 = 403522^2 + 224725^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213331330109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213331330159) 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, 106665665054 + 106665665055.

It is an arithmetic number, because the mean of its divisors is an integer number (106665665055).

Almost surely, 2213331330109 is an apocalyptic number.

It is an amenable number.

213331330109 is a deficient number, since it is larger than the sum of its proper divisors (1).

213331330109 is an equidigital number, since it uses as much as digits as its factorization.

213331330109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 29.

The spelling of 213331330109 in words is "two hundred thirteen billion, three hundred thirty-one million, three hundred thirty thousand, one hundred nine".