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1010413009 is a prime number
BaseRepresentation
bin111100001110011…
…010110111010001
32121102021022002001
4330032122313101
54032131204014
6244132354001
734016240344
oct7416326721
92542238061
101010413009
11479396281
12242475901
13131444a28
149829c45b
155da8b974
hex3c39add1

1010413009 has 2 divisors, whose sum is σ = 1010413010. Its totient is φ = 1010413008.

The previous prime is 1010413007. The next prime is 1010413021. The reversal of 1010413009 is 9003140101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1001532609 + 8880400 = 31647^2 + 2980^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010413009 - 21 = 1010413007 is a prime.

Together with 1010413007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1010413007) 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, 505206504 + 505206505.

It is an arithmetic number, because the mean of its divisors is an integer number (505206505).

Almost surely, 21010413009 is an apocalyptic number.

It is an amenable number.

1010413009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010413009 is an equidigital number, since it uses as much as digits as its factorization.

1010413009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1010413009 is about 31786.9943373072. The cubic root of 1010413009 is about 1003.4590243549.

The spelling of 1010413009 in words is "one billion, ten million, four hundred thirteen thousand, nine".