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11322 = 2321737
BaseRepresentation
bin10110000111010
3120112100
42300322
5330242
6124230
745003
oct26072
916470
1011322
118563
126676
1351cc
1441aa
15354c
hex2c3a

11322 has 24 divisors (see below), whose sum is σ = 26676. Its totient is φ = 3456.

The previous prime is 11321. The next prime is 11329. The reversal of 11322 is 22311.

It is a happy number.

11322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9801 + 1521 = 99^2 + 39^2 .

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.

It is not an unprimeable number, because it can be changed into a prime (11321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288 + ... + 324.

211322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338).

11322 is an abundant number, since it is smaller than the sum of its proper divisors (15354).

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

11322 is a wasteful number, since it uses less digits than its factorization.

11322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 59 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 11322 is about 106.4048871058. The cubic root of 11322 is about 22.4547237676.

Adding to 11322 its reverse (22311), we get a palindrome (33633).

It can be divided in two parts, 11 and 322, that added together give a palindrome (333).

The spelling of 11322 in words is "eleven thousand, three hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322