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20032003 = 731372003
BaseRepresentation
bin100110001101…
…0101000000011
31101200201202001
41030122220003
520112011003
61553204431
7332161225
oct114325003
941621661
1020032003
1110342382
126860717
1341c4b74
142936415
151b5a61d
hex131aa03

20032003 has 8 divisors (see below), whose sum is σ = 20464848. Its totient is φ = 19603584.

The previous prime is 20031997. The next prime is 20032013. The reversal of 20032003 is 30023002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20032003 is a prime.

It is a super-2 number, since 2×200320032 = 802562288384018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20032013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9000 + ... + 11002.

It is an arithmetic number, because the mean of its divisors is an integer number (2558106).

Almost surely, 220032003 is an apocalyptic number.

20032003 is a deficient number, since it is larger than the sum of its proper divisors (432845).

20032003 is a wasteful number, since it uses less digits than its factorization.

20032003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213.

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

The square root of 20032003 is about 4475.7125689660. The cubic root of 20032003 is about 271.5864670151.

Adding to 20032003 its reverse (30023002), we get a palindrome (50055005).

Subtracting 20032003 from its reverse (30023002), we obtain a palindrome (9990999).

The spelling of 20032003 in words is "twenty million, thirty-two thousand, three".

Divisors: 1 73 137 2003 10001 146219 274411 20032003