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112311 = 3212479
BaseRepresentation
bin11011011010110111
312201001200
4123122313
512043221
62223543
7645303
oct333267
9181050
10112311
1177421
1254bb3
133c174
142cd03
1523426
hex1b6b7

112311 has 6 divisors (see below), whose sum is σ = 162240. Its totient is φ = 74868.

The previous prime is 112303. The next prime is 112327. The reversal of 112311 is 113211.

It is not a de Polignac number, because 112311 - 23 = 112303 is a prime.

It is a super-2 number, since 2×1123112 = 25227521442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12479 = 112311 / (1 + 1 + 2 + 3 + 1 + 1).

112311 is a lucky number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 112293 and 112302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6231 + ... + 6248.

It is an arithmetic number, because the mean of its divisors is an integer number (27040).

2112311 is an apocalyptic number.

112311 is a deficient number, since it is larger than the sum of its proper divisors (49929).

112311 is a wasteful number, since it uses less digits than its factorization.

112311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12485 (or 12482 counting only the distinct ones).

The product of its digits is 6, while the sum is 9.

The square root of 112311 is about 335.1283336276. The cubic root of 112311 is about 48.2474203745.

Adding to 112311 its reverse (113211), we get a palindrome (225522).

Subtracting 112311 from its reverse (113211), we obtain a square (900 = 302).

The spelling of 112311 in words is "one hundred twelve thousand, three hundred eleven", and thus it is an iban number.

Divisors: 1 3 9 12479 37437 112311