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2003013 = 32222557
BaseRepresentation
bin111101001000001000101
310202202121200
413221001011
51003044023
6110533113
723011455
oct7510105
93682550
102003013
111148991
12807199
1355191c
143a1d65
15298743
hex1e9045

2003013 has 6 divisors (see below), whose sum is σ = 2893254. Its totient is φ = 1335336.

The previous prime is 2003011. The next prime is 2003021. The reversal of 2003013 is 3103002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1046529 + 956484 = 1023^2 + 978^2 .

It is not a de Polignac number, because 2003013 - 21 = 2003011 is a prime.

It is a super-2 number, since 2×20030132 = 8024122156338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 222557 = 2003013 / (2 + 0 + 0 + 3 + 0 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 2002986 and 2003004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111270 + ... + 111287.

It is an arithmetic number, because the mean of its divisors is an integer number (482209).

22003013 is an apocalyptic number.

It is an amenable number.

2003013 is a deficient number, since it is larger than the sum of its proper divisors (890241).

2003013 is a wasteful number, since it uses less digits than its factorization.

2003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222563 (or 222560 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2003013 is about 1415.2784178387. The cubic root of 2003013 is about 126.0553422798.

Adding to 2003013 its reverse (3103002), we get a palindrome (5106015).

The spelling of 2003013 in words is "two million, three thousand, thirteen".

Divisors: 1 3 9 222557 667671 2003013