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1029008209 is a prime number
BaseRepresentation
bin111101010101010…
…110101101010001
32122201021000220011
4331111112231101
54101411230314
6250035114521
734333265635
oct7525265521
92581230804
101029008209
11488937109
12248742a41
131352558c8
149a93cdc5
15605114c4
hex3d556b51

1029008209 has 2 divisors, whose sum is σ = 1029008210. Its totient is φ = 1029008208.

The previous prime is 1029008173. The next prime is 1029008237. The reversal of 1029008209 is 9028009201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 871430400 + 157577809 = 29520^2 + 12553^2 .

It is a cyclic number.

It is not a de Polignac number, because 1029008209 - 213 = 1029000017 is a prime.

It is not a weakly prime, because it can be changed into another prime (1029000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 514504104 + 514504105.

It is an arithmetic number, because the mean of its divisors is an integer number (514504105).

Almost surely, 21029008209 is an apocalyptic number.

It is an amenable number.

1029008209 is a deficient number, since it is larger than the sum of its proper divisors (1).

1029008209 is an equidigital number, since it uses as much as digits as its factorization.

1029008209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1029008209 is about 32078.1578180543. The cubic root of 1029008209 is about 1009.5773838853.

The spelling of 1029008209 in words is "one billion, twenty-nine million, eight thousand, two hundred nine".