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203031 = 32171327
BaseRepresentation
bin110001100100010111
3101022111200
4301210113
522444111
64203543
71503633
oct614427
9338450
10203031
111295a4
12995b3
137154a
1453dc3
1540256
hex31917

203031 has 12 divisors (see below), whose sum is σ = 310752. Its totient is φ = 127296.

The previous prime is 203023. The next prime is 203039. The reversal of 203031 is 130302.

It is a happy number.

203031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203023) and next prime (203039).

It is not a de Polignac number, because 203031 - 23 = 203023 is a prime.

It is a super-2 number, since 2×2030312 = 82443173922, which contains 22 as substring.

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

203031 is a lucky number.

It is a zygodrome in base 5.

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 203031.

It is not an unprimeable number, because it can be changed into a prime (203039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (25896).

2203031 is an apocalyptic number.

203031 is a deficient number, since it is larger than the sum of its proper divisors (107721).

203031 is a wasteful number, since it uses less digits than its factorization.

203031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1347 counting only the distinct ones).

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

The square root of 203031 is about 450.5896137285. The cubic root of 203031 is about 58.7742980827.

Adding to 203031 its reverse (130302), we get a palindrome (333333).

The spelling of 203031 in words is "two hundred three thousand, thirty-one".

Divisors: 1 3 9 17 51 153 1327 3981 11943 22559 67677 203031