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203013 = 3373103
BaseRepresentation
bin110001100100000101
3101022111000
4301210011
522444023
64203513
71503606
oct614405
9338430
10203013
11129588
1299599
1371535
1453dad
1540243
hex31905

203013 has 16 divisors (see below), whose sum is σ = 307840. Its totient is φ = 132192.

The previous prime is 203011. The next prime is 203017. The reversal of 203013 is 310302.

It is a happy number.

203013 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 203013 - 21 = 203011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202986 and 203004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920 + ... + 2022.

It is an arithmetic number, because the mean of its divisors is an integer number (19240).

2203013 is an apocalyptic number.

It is an amenable number.

203013 is a deficient number, since it is larger than the sum of its proper divisors (104827).

203013 is a wasteful number, since it uses less digits than its factorization.

203013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

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

The square root of 203013 is about 450.5696394565. The cubic root of 203013 is about 58.7725611252.

Adding to 203013 its reverse (310302), we get a palindrome (513315).

The spelling of 203013 in words is "two hundred three thousand, thirteen".

Divisors: 1 3 9 27 73 103 219 309 657 927 1971 2781 7519 22557 67671 203013