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20001000009 = 3192232516269
BaseRepresentation
bin10010101000001001…
…110000101001001001
31220121220102002000010
4102220021300221021
5311430224000014
613104402502133
71305433460244
oct225011605111
956556362003
1020001000009
118534052381
123a62364949
131b69967b63
14d7a4a625b
157c0db7359
hex4a8270a49

20001000009 has 32 divisors (see below), whose sum is σ = 28314316800. Its totient is φ = 12523464000.

The previous prime is 20001000001. The next prime is 20001000013. The reversal of 20001000009 is 90000010002.

It is a happy number.

It is not a de Polignac number, because 20001000009 - 23 = 20001000001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20000999958 and 20001000003.

It is not an unprimeable number, because it can be changed into a prime (20001000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3187327 + ... + 3193595.

It is an arithmetic number, because the mean of its divisors is an integer number (884822400).

Almost surely, 220001000009 is an apocalyptic number.

It is an amenable number.

20001000009 is a deficient number, since it is larger than the sum of its proper divisors (8313316791).

20001000009 is a wasteful number, since it uses less digits than its factorization.

20001000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765.

The product of its (nonzero) digits is 18, while the sum is 12.

The spelling of 20001000009 in words is "twenty billion, one million, nine", and thus it is an aban number and an uban number.

Divisors: 1 3 19 57 223 251 669 753 4237 4769 6269 12711 14307 18807 55973 119111 167919 357333 1063487 1397987 1573519 3190461 4193961 4720557 26561753 29896861 79685259 89690583 350894737 1052684211 6667000003 20001000009