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112221 = 3237337
BaseRepresentation
bin11011011001011101
312200221100
4123121131
512042341
62223313
7645114
oct333135
9180840
10112221
117734a
1254b39
133c105
142cc7b
15233b6
hex1b65d

112221 has 12 divisors (see below), whose sum is σ = 166972. Its totient is φ = 72576.

The previous prime is 112213. The next prime is 112223. The reversal of 112221 is 122211.

It can be written as a sum of positive squares in 2 ways, for example, as 68121 + 44100 = 261^2 + 210^2 .

It is not a de Polignac number, because 112221 - 23 = 112213 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112223) 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 11 ways as a sum of consecutive naturals, for example, 165 + ... + 501.

2112221 is an apocalyptic number.

It is an amenable number.

112221 is a deficient number, since it is larger than the sum of its proper divisors (54751).

112221 is a wasteful number, since it uses less digits than its factorization.

112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 377 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 112221 is about 334.9940297975. The cubic root of 112221 is about 48.2345293005.

Adding to 112221 its reverse (122211), we get a palindrome (234432).

It can be divided in two parts, 112 and 221, that added together give a palindrome (333).

The spelling of 112221 in words is "one hundred twelve thousand, two hundred twenty-one", and thus it is an iban number.

Divisors: 1 3 9 37 111 333 337 1011 3033 12469 37407 112221