Base | Representation |
---|---|
bin | 1011001011011111… |
… | …1010000001000011 |
3 | 21202010220121002021 |
4 | 2302313322001003 |
5 | 22121224000003 |
6 | 1213441502311 |
7 | 134240036101 |
oct | 26267720103 |
9 | 7663817067 |
10 | 3001000003 |
11 | 12aaa937a1 |
12 | 6b9041997 |
13 | 38a974761 |
14 | 2067c6c71 |
15 | 1286e02bd |
hex | b2dfa043 |
3001000003 has 16 divisors (see below), whose sum is σ = 3166615296. Its totient is φ = 2838417120.
The previous prime is 3001000001. The next prime is 3001000019. The reversal of 3001000003 is 3000001003.
It is a happy number.
3001000003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 3001000003 - 21 = 3001000001 is a prime.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 3001000003.
It is not an unprimeable number, because it can be changed into a prime (3001000001) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172373 + ... + 2173753.
It is an arithmetic number, because the mean of its divisors is an integer number (197913456).
Almost surely, 23001000003 is an apocalyptic number.
3001000003 is a deficient number, since it is larger than the sum of its proper divisors (165615293).
3001000003 is a wasteful number, since it uses less digits than its factorization.
3001000003 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2394.
The product of its (nonzero) digits is 9, while the sum is 7.
The square root of 3001000003 is about 54781.3837265909. The cubic root of 3001000003 is about 1442.4098029381.
Adding to 3001000003 its reverse (3000001003), we get a palindrome (6001001006).
The spelling of 3001000003 in words is "three billion, one million, three", and thus it is an aban number and an uban number.
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