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111112 = 23171943
BaseRepresentation
bin11011001000001000
312122102021
4123020020
512023422
62214224
7641641
oct331010
9178367
10111112
1176531
1254374
133b761
142c6c8
1522dc7
hex1b208

111112 has 32 divisors (see below), whose sum is σ = 237600. Its totient is φ = 48384.

The previous prime is 111109. The next prime is 111119. The reversal of 111112 is 211111.

Adding to 111112 its reverse (211111), we get a palindrome (322223).

Subtracting 111112 from its reverse (211111), we obtain a palindrome (99999).

Multipling 111112 by its reverse (211111), we get a palindrome (23456965432).

It can be divided in two parts, 11111 and 2, that multiplied together give a palindrome (22222).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a magnanimous number.

It is a plaindrome in base 10.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 111095 and 111104.

It is not an unprimeable number, because it can be changed into a prime (111119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2563 + ... + 2605.

It is an arithmetic number, because the mean of its divisors is an integer number (7425).

2111112 is an apocalyptic number.

It is an amenable number.

111112 is an abundant number, since it is smaller than the sum of its proper divisors (126488).

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

111112 is a wasteful number, since it uses less digits than its factorization.

111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its digits is 2, while the sum is 7.

The square root of 111112 is about 333.3346666640. The cubic root of 111112 is about 48.0751138765.

The spelling of 111112 in words is "one hundred eleven thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 17 19 34 38 43 68 76 86 136 152 172 323 344 646 731 817 1292 1462 1634 2584 2924 3268 5848 6536 13889 27778 55556 111112