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1029007009 is a prime number
BaseRepresentation
bin111101010101010…
…110011010100001
32122201020222020201
4331111112122201
54101411211014
6250035105201
734333262302
oct7525263241
92581228221
101029007009
11488936218
12248742201
131352551b4
149a93c7a9
1560510e74
hex3d5566a1

1029007009 has 2 divisors, whose sum is σ = 1029007010. Its totient is φ = 1029007008.

The previous prime is 1029007003. The next prime is 1029007039. The reversal of 1029007009 is 9007009201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 857318400 + 171688609 = 29280^2 + 13103^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1029007009 is a prime.

It is a super-2 number, since 2×10290070092 = 2117710849142252162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1029007003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 514503504 + 514503505.

It is an arithmetic number, because the mean of its divisors is an integer number (514503505).

Almost surely, 21029007009 is an apocalyptic number.

It is an amenable number.

1029007009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1029007009 is an equidigital number, since it uses as much as digits as its factorization.

1029007009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 1029007009 is about 32078.1391137329. The cubic root of 1029007009 is about 1009.5769914384.

The spelling of 1029007009 in words is "one billion, twenty-nine million, seven thousand, nine".