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10012000009 = 1117449119243
BaseRepresentation
bin10010101001100001…
…01111111100001001
3221211202100022001011
421110300233330021
5131001033000014
64333251523521
7503051411254
oct112460577411
927752308034
1010012000009
114278570880
121b34bb95a1
13c3732c47b
146ad9a809b
153d8e7d7c4
hex254c2ff09

10012000009 has 16 divisors (see below), whose sum is σ = 11590516800. Its totient is φ = 8547266560.

The previous prime is 10011999997. The next prime is 10012000021. The reversal of 10012000009 is 90000021001.

10012000009 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10011999997) and next prime (10012000021).

It is a cyclic number.

It is not a de Polignac number, because 10012000009 - 215 = 10011967241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012000069) 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 in 15 ways as a sum of consecutive naturals, for example, 24342 + ... + 143584.

It is an arithmetic number, because the mean of its divisors is an integer number (724407300).

Almost surely, 210012000009 is an apocalyptic number.

It is an amenable number.

10012000009 is a deficient number, since it is larger than the sum of its proper divisors (1578516791).

10012000009 is a wasteful number, since it uses less digits than its factorization.

10012000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119720.

The product of its (nonzero) digits is 18, while the sum is 13.

The spelling of 10012000009 in words is "ten billion, twelve million, nine", and thus it is an aban number and an uban number.

Divisors: 1 11 17 187 449 4939 7633 83963 119243 1311673 2027131 22298441 53540107 588941177 910181819 10012000009