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204131103329 is a prime number
BaseRepresentation
bin1011111000011100101…
…0010111001001100001
3201111220020200110220102
42332013022113021201
511321030030301304
6233435421552145
720514362515016
oct2760712271141
9644806613812
10204131103329
117963176028a
123368b115655
131633215460a
149c46a0170d
15549ae94d1e
hex2f87297261

204131103329 has 2 divisors, whose sum is σ = 204131103330. Its totient is φ = 204131103328.

The previous prime is 204131103287. The next prime is 204131103383. The reversal of 204131103329 is 923301131402.

204131103329 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., 160041602704 + 44089500625 = 400052^2 + 209975^2 .

It is a cyclic number.

It is not a de Polignac number, because 204131103329 - 220 = 204130054753 is a prime.

It is not a weakly prime, because it can be changed into another prime (204131103389) 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, 102065551664 + 102065551665.

It is an arithmetic number, because the mean of its divisors is an integer number (102065551665).

Almost surely, 2204131103329 is an apocalyptic number.

It is an amenable number.

204131103329 is a deficient number, since it is larger than the sum of its proper divisors (1).

204131103329 is an equidigital number, since it uses as much as digits as its factorization.

204131103329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 204131103329 in words is "two hundred four billion, one hundred thirty-one million, one hundred three thousand, three hundred twenty-nine".