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111342 = 23711241
BaseRepresentation
bin11011001011101110
312122201210
4123023232
512030332
62215250
7642420
oct331356
9178653
10111342
1176720
1254526
133b8aa
142c810
1522ecc
hex1b2ee

111342 has 32 divisors (see below), whose sum is σ = 278784. Its totient is φ = 28800.

The previous prime is 111341. The next prime is 111347. The reversal of 111342 is 243111.

111342 = T48 + T49 + ... + T91.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111341) 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 15 ways as a sum of consecutive naturals, for example, 342 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (8712).

2111342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139392).

111342 is an abundant number, since it is smaller than the sum of its proper divisors (167442).

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

111342 is a wasteful number, since it uses less digits than its factorization.

111342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

The product of its digits is 24, while the sum is 12.

The square root of 111342 is about 333.6794869332. The cubic root of 111342 is about 48.1082625778.

Adding to 111342 its reverse (243111), we get a palindrome (354453).

Subtracting 111342 from its reverse (243111), we obtain a square (131769 = 3632).

The spelling of 111342 in words is "one hundred eleven thousand, three hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 241 462 482 723 1446 1687 2651 3374 5061 5302 7953 10122 15906 18557 37114 55671 111342