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203391 = 3831
BaseRepresentation
bin110001101001111111
3101100000000
4301221333
523002031
64205343
71504656
oct615177
9340000
10203391
111298a1
1299853
1371766
145419d
15403e6
hex31a7f

203391 has 18 divisors (see below), whose sum is σ = 314912. Its totient is φ = 131220.

The previous prime is 203387. The next prime is 203393. The reversal of 203391 is 193302.

203391 = T48 + T49 + ... + T109.

It is not a de Polignac number, because 203391 - 22 = 203387 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203391.

It is not an unprimeable number, because it can be changed into a prime (203393) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6546 + ... + 6576.

203391 is a Friedman number, since it can be written as 31*9^(3+2^0), using all its digits and the basic arithmetic operations.

2203391 is an apocalyptic number.

203391 is a deficient number, since it is larger than the sum of its proper divisors (111521).

203391 is an frugal number, since it uses more digits than its factorization.

203391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 203391 is about 450.9889133892. The cubic root of 203391 is about 58.8090156938.

Adding to 203391 its reverse (193302), we get a palindrome (396693).

The spelling of 203391 in words is "two hundred three thousand, three hundred ninety-one".

Divisors: 1 3 9 27 31 81 93 243 279 729 837 2187 2511 6561 7533 22599 67797 203391