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3002002003 = 721113428429
BaseRepresentation
bin1011001011101110…
…1110101001010011
321202012210111120101
42302323232221103
522122003031003
61213515153231
7134251411300
oct26273565123
97665714511
103002002003
1113006085a0
126b9445817
1338ac35860
142069a80a7
1512883c11d
hexb2eeea53

3002002003 has 24 divisors (see below), whose sum is σ = 4102645680. Its totient is φ = 2159277120.

The previous prime is 3002001983. The next prime is 3002002009.

3002002003 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-3002002003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3002002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207208 + ... + 221221.

It is an arithmetic number, because the mean of its divisors is an integer number (170943570).

Almost surely, 23002002003 is an apocalyptic number.

3002002003 is a deficient number, since it is larger than the sum of its proper divisors (1100643677).

3002002003 is a wasteful number, since it uses less digits than its factorization.

3002002003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428467 (or 428460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3002002003 is about 54790.5284059207. The cubic root of 3002002003 is about 1442.5703198541.

It can be divided in two parts, 300200 and 2003, that added together give a palindrome (302203).

The spelling of 3002002003 in words is "three billion, two million, two thousand, three".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 428429 2999003 4712719 5569577 20993021 32989033 38987039 61265347 230923231 272909273 428857429 3002002003