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110312 = 2313789
BaseRepresentation
bin11010111011101000
312121022122
4122323220
512012222
62210412
7636416
oct327350
9177278
10110312
1175974
1253a08
133b297
142c2b6
1522a42
hex1aee8

110312 has 8 divisors (see below), whose sum is σ = 206850. Its totient is φ = 55152.

The previous prime is 110311. The next prime is 110321. The reversal of 110312 is 213011.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 45796 = 254^2 + 214^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a Harshad number since it is a multiple of its sum of digits (8), and also a Moran number because the ratio is a prime number: 13789 = 110312 / (1 + 1 + 0 + 3 + 1 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 110312.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110312.

It is not an unprimeable number, because it can be changed into a prime (110311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6887 + ... + 6902.

2110312 is an apocalyptic number.

It is an amenable number.

110312 is a deficient number, since it is larger than the sum of its proper divisors (96538).

110312 is a wasteful number, since it uses less digits than its factorization.

110312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13795 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 110312 is about 332.1325036789. The cubic root of 110312 is about 47.9594565051.

Adding to 110312 its reverse (213011), we get a palindrome (323323).

The spelling of 110312 in words is "one hundred ten thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 13789 27578 55156 110312