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203300013 = 37233471213
BaseRepresentation
bin11000001111000…
…01110010101101
3112011112201012010
430013201302231
5404021100023
632101231433
75016010260
oct1407416255
9464481163
10203300013
11a4837344
1258102579
1333171387
141d000cd7
1512cac093
hexc1e1cad

203300013 has 32 divisors (see below), whose sum is σ = 324458496. Its totient is φ = 110708928.

The previous prime is 203300003. The next prime is 203300029. The reversal of 203300013 is 310003302.

It is a happy number.

203300013 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 203300013 - 28 = 203299757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203300003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166995 + ... + 168207.

It is an arithmetic number, because the mean of its divisors is an integer number (10139328).

Almost surely, 2203300013 is an apocalyptic number.

203300013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

203300013 is a deficient number, since it is larger than the sum of its proper divisors (121158483).

203300013 is a wasteful number, since it uses less digits than its factorization.

203300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 203300013 is about 14258.3313539839. The cubic root of 203300013 is about 588.0024497792.

Adding to 203300013 its reverse (310003302), we get a palindrome (513303315).

It can be divided in two parts, 20 and 3300013, that added together give a palindrome (3300033).

The spelling of 203300013 in words is "two hundred three million, three hundred thousand, thirteen".

Divisors: 1 3 7 21 23 69 161 347 483 1041 1213 2429 3639 7287 7981 8491 23943 25473 27899 55867 83697 167601 195293 420911 585879 1262733 2946377 8839131 9680953 29042859 67766671 203300013