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311112 = 233229149
BaseRepresentation
bin1001011111101001000
3120210202200
41023331020
534423422
610400200
72434014
oct1137510
9523680
10311112
111a281a
12130060
13ab7b9
1481544
15622ac
hex4bf48

311112 has 48 divisors (see below), whose sum is σ = 877500. Its totient is φ = 99456.

The previous prime is 311111. The next prime is 311123. The reversal of 311112 is 211113.

It can be written as a sum of positive squares in 2 ways, for example, as 298116 + 12996 = 546^2 + 114^2 .

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

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 junction number, because it is equal to n+sod(n) for n = 311094 and 311103.

It is not an unprimeable number, because it can be changed into a prime (311111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2014 + ... + 2162.

2311112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438750).

311112 is an abundant number, since it is smaller than the sum of its proper divisors (566388).

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

311112 is a wasteful number, since it uses less digits than its factorization.

311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

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

The square root of 311112 is about 557.7741478412. The cubic root of 311112 is about 67.7598216540.

Adding to 311112 its reverse (211113), we get a palindrome (522225).

Subtracting from 311112 its reverse (211113), we obtain a palindrome (99999).

It can be divided in two parts, 31111 and 2, that added together give a palindrome (31113).

The spelling of 311112 in words is "three hundred eleven thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 149 174 232 261 298 348 447 522 596 696 894 1044 1192 1341 1788 2088 2682 3576 4321 5364 8642 10728 12963 17284 25926 34568 38889 51852 77778 103704 155556 311112