Search a number
-
+
110313 = 32717103
BaseRepresentation
bin11010111011101001
312121022200
4122323221
512012223
62210413
7636420
oct327351
9177280
10110313
1175975
1253a09
133b298
142c2b7
1522a43
hex1aee9

110313 has 24 divisors (see below), whose sum is σ = 194688. Its totient is φ = 58752.

The previous prime is 110311. The next prime is 110321. The reversal of 110313 is 313011.

Adding to 110313 its reverse (313011), we get a palindrome (423324).

110313 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 110313 - 21 = 110311 is a prime.

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

110313 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 110295 and 110304.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020 + ... + 1122.

It is an arithmetic number, because the mean of its divisors is an integer number (8112).

2110313 is an apocalyptic number.

It is an amenable number.

110313 is a deficient number, since it is larger than the sum of its proper divisors (84375).

110313 is a wasteful number, since it uses less digits than its factorization.

110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

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

The square root of 110313 is about 332.1340090987. The cubic root of 110313 is about 47.9596014253.

The spelling of 110313 in words is "one hundred ten thousand, three hundred thirteen".

Divisors: 1 3 7 9 17 21 51 63 103 119 153 309 357 721 927 1071 1751 2163 5253 6489 12257 15759 36771 110313