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111361 = 193577
BaseRepresentation
bin11011001100000001
312122202111
4123030001
512030421
62215321
7642445
oct331401
9178674
10111361
1176738
1254541
133b8c3
142c825
1522ee1
hex1b301

111361 has 4 divisors (see below), whose sum is σ = 112132. Its totient is φ = 110592.

The previous prime is 111347. The next prime is 111373. The reversal of 111361 is 163111.

Adding to 111361 its reverse (163111), we get a palindrome (274472).

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 163111 = 1312547.

It can be written as a sum of positive squares in 2 ways, for example, as 78961 + 32400 = 281^2 + 180^2 .

It is a 3-Lehmer number, since φ(111361) divides (111361-1)3.

It is a cyclic number.

It is not a de Polignac number, because 111361 - 29 = 110849 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111301) 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 3 ways as a sum of consecutive naturals, for example, 96 + ... + 481.

It is an arithmetic number, because the mean of its divisors is an integer number (28033).

2111361 is an apocalyptic number.

111361 is the 193-rd octagonal number.

It is an amenable number.

111361 is a deficient number, since it is larger than the sum of its proper divisors (771).

111361 is an equidigital number, since it uses as much as digits as its factorization.

111361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770.

The product of its digits is 18, while the sum is 13.

The square root of 111361 is about 333.7079561533. The cubic root of 111361 is about 48.1109989067.

The spelling of 111361 in words is "one hundred eleven thousand, three hundred sixty-one".

Divisors: 1 193 577 111361