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1009382009 is a prime number
BaseRepresentation
bin111100001010011…
…111001001111001
32121100022220210212
4330022133021321
54031400211014
6244054320505
734004414456
oct7412371171
92540286725
101009382009
11478851709
12242059135
1313117367c
14980b082d
155d93623e
hex3c29f279

1009382009 has 2 divisors, whose sum is σ = 1009382010. Its totient is φ = 1009382008.

The previous prime is 1009381943. The next prime is 1009382053. The reversal of 1009382009 is 9002839001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 788205625 + 221176384 = 28075^2 + 14872^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009382009 - 212 = 1009377913 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009384009) 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, 504691004 + 504691005.

It is an arithmetic number, because the mean of its divisors is an integer number (504691005).

Almost surely, 21009382009 is an apocalyptic number.

It is an amenable number.

1009382009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009382009 is an equidigital number, since it uses as much as digits as its factorization.

1009382009 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 32.

The square root of 1009382009 is about 31770.7728738223. The cubic root of 1009382009 is about 1003.1176067609.

The spelling of 1009382009 in words is "one billion, nine million, three hundred eighty-two thousand, nine".