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213333000029 is a prime number
BaseRepresentation
bin1100011010101110100…
…0110011111101011101
3202101122112200021010022
43012223220303331131
511443401222000104
6242000454321525
721261406403132
oct3065350637535
9671575607108
10213333000029
1182523a0a496
12354189592a5
131716a6a42c6
14a47ab70589
155838c52bbe
hex31aba33f5d

213333000029 has 2 divisors, whose sum is σ = 213333000030. Its totient is φ = 213333000028.

The previous prime is 213332999977. The next prime is 213333000073. The reversal of 213333000029 is 920000333312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205381176100 + 7951823929 = 453190^2 + 89173^2 .

It is a cyclic number.

It is not a de Polignac number, because 213333000029 - 220 = 213331951453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213332999971 and 213333000007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213333000929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106666500014 + 106666500015.

It is an arithmetic number, because the mean of its divisors is an integer number (106666500015).

Almost surely, 2213333000029 is an apocalyptic number.

It is an amenable number.

213333000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

213333000029 is an equidigital number, since it uses as much as digits as its factorization.

213333000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

The spelling of 213333000029 in words is "two hundred thirteen billion, three hundred thirty-three million, twenty-nine", and thus it is an aban number.