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1029491009 is a prime number
BaseRepresentation
bin111101010111001…
…100100101000001
32122202011120011122
4331113030211001
54102022203014
6250053322025
734340346341
oct7527144501
92582146148
101029491009
11489136918
12248936315
131353945a1
149aa26d21
15605a958e
hex3d5cc941

1029491009 has 2 divisors, whose sum is σ = 1029491010. Its totient is φ = 1029491008.

The previous prime is 1029490963. The next prime is 1029491053. The reversal of 1029491009 is 9001949201.

1029491009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 967396609 + 62094400 = 31103^2 + 7880^2 .

It is a cyclic number.

It is not a de Polignac number, because 1029491009 - 28 = 1029490753 is a prime.

It is a super-2 number, since 2×10294910092 = 2119703475223676162, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1029491009.

It is not a weakly prime, because it can be changed into another prime (1029461009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 514745504 + 514745505.

It is an arithmetic number, because the mean of its divisors is an integer number (514745505).

Almost surely, 21029491009 is an apocalyptic number.

It is an amenable number.

1029491009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1029491009 is an equidigital number, since it uses as much as digits as its factorization.

1029491009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 1029491009 is about 32085.6823053523. The cubic root of 1029491009 is about 1009.7352536169.

The spelling of 1029491009 in words is "one billion, twenty-nine million, four hundred ninety-one thousand, nine".