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1000009013 is a prime number
BaseRepresentation
bin111011100110101…
…110110100110101
32120200200201110212
4323212232310311
54022000242023
6243121355205
733531636113
oct7346566465
92520621425
101000009013
1147352a633
1223aa98b05
1312c241313
1496b50ab3
155cbd3e78
hex3b9aed35

1000009013 has 2 divisors, whose sum is σ = 1000009014. Its totient is φ = 1000009012.

The previous prime is 1000009009. The next prime is 1000009063. The reversal of 1000009013 is 3109000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 792591409 + 207417604 = 28153^2 + 14402^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000009013 - 22 = 1000009009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000009063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500004506 + 500004507.

It is an arithmetic number, because the mean of its divisors is an integer number (500004507).

Almost surely, 21000009013 is an apocalyptic number.

It is an amenable number.

1000009013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000009013 is an equidigital number, since it uses as much as digits as its factorization.

1000009013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1000009013 is about 31622.9191094054. The cubic root of 1000009013 is about 1000.0030043243.

Adding to 1000009013 its reverse (3109000001), we get a palindrome (4109009014).

The spelling of 1000009013 in words is "one billion, nine thousand, thirteen".