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203112 = 233271331
BaseRepresentation
bin110001100101101000
3101022121200
4301211220
522444422
64204200
71504110
oct614550
9338550
10203112
11129668
1299660
13715b0
1454040
15402ac
hex31968

203112 has 96 divisors (see below), whose sum is σ = 698880. Its totient is φ = 51840.

The previous prime is 203057. The next prime is 203117. The reversal of 203112 is 211302.

Adding to 203112 its reverse (211302), we get a palindrome (414414).

It is a happy number.

203112 is nontrivially palindromic in base 5.

203112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 203094 and 203103.

It is not an unprimeable number, because it can be changed into a prime (203117) by changing a digit.

203112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6537 + ... + 6567.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2203112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349440).

203112 is an abundant number, since it is smaller than the sum of its proper divisors (495768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203112 is a wasteful number, since it uses less digits than its factorization.

203112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 203112 is about 450.6794869971. The cubic root of 203112 is about 58.7821131211.

The spelling of 203112 in words is "two hundred three thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 31 36 39 42 52 56 62 63 72 78 84 91 93 104 117 124 126 156 168 182 186 217 234 248 252 273 279 312 364 372 403 434 468 504 546 558 651 728 744 806 819 868 936 1092 1116 1209 1302 1612 1638 1736 1953 2184 2232 2418 2604 2821 3224 3276 3627 3906 4836 5208 5642 6552 7254 7812 8463 9672 11284 14508 15624 16926 22568 25389 29016 33852 50778 67704 101556 203112