Search a number
-
+
20002122009 = 322222458001
BaseRepresentation
bin10010101000001110…
…000010100100011001
31220121222112002002200
4102220032002210121
5311431020401014
613104442520413
71305446142342
oct225016024431
956558462080
1020002122009
118534749351
123a62806109
131b69c6b76c
14d7a6b90c9
157c1039a09
hex4a8382919

20002122009 has 6 divisors (see below), whose sum is σ = 28891954026. Its totient is φ = 13334748000.

The previous prime is 20002121999. The next prime is 20002122053. The reversal of 20002122009 is 90022120002.

It can be written as a sum of positive squares in only one way, i.e., 17499321225 + 2502800784 = 132285^2 + 50028^2 .

It is not a de Polignac number, because 20002122009 - 28 = 20002121753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20002121982 and 20002122000.

It is not an unprimeable number, because it can be changed into a prime (20002122409) 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 5 ways as a sum of consecutive naturals, for example, 1111228992 + ... + 1111229009.

It is an arithmetic number, because the mean of its divisors is an integer number (4815325671).

Almost surely, 220002122009 is an apocalyptic number.

It is an amenable number.

20002122009 is a deficient number, since it is larger than the sum of its proper divisors (8889832017).

20002122009 is a wasteful number, since it uses less digits than its factorization.

20002122009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222458007 (or 2222458004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 20002122009 in words is "twenty billion, two million, one hundred twenty-two thousand, nine".

Divisors: 1 3 9 2222458001 6667374003 20002122009