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2921000009 is a prime number
BaseRepresentation
bin1010111000011010…
…1110110001001001
321112120101011201112
42232012232301021
521440234000014
61201503100105
7132246043004
oct25606566111
97476334645
102921000009
1112699125a4
126962a1635
13377214395
141d9d2053b
1512168b73e
hexae1aec49

2921000009 has 2 divisors, whose sum is σ = 2921000010. Its totient is φ = 2921000008.

The previous prime is 2921000003. The next prime is 2921000011. The reversal of 2921000009 is 9000001292.

2921000009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2835030025 + 85969984 = 53245^2 + 9272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2921000009 is a prime.

Together with 2921000011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2921000003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1460500004 + 1460500005.

It is an arithmetic number, because the mean of its divisors is an integer number (1460500005).

Almost surely, 22921000009 is an apocalyptic number.

It is an amenable number.

2921000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2921000009 is an equidigital number, since it uses as much as digits as its factorization.

2921000009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 2921000009 is about 54046.2765507486. The cubic root of 2921000009 is about 1429.4770462959.

The spelling of 2921000009 in words is "two billion, nine hundred twenty-one million, nine", and thus it is an aban number.