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133111 = 1112101
BaseRepresentation
bin100000011111110111
320202121001
4200133313
513224421
62504131
71063036
oct403767
9222531
10133111
1191010
1265047
1348784
143671d
1529691
hex207f7

133111 has 4 divisors (see below), whose sum is σ = 145224. Its totient is φ = 121000.

The previous prime is 133109. The next prime is 133117. The reversal of 133111 is 111331.

133111 is nontrivially palindromic in base 13.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 133111 - 21 = 133109 is a prime.

It is a super-3 number, since 3×1331113 = 7075597063339893, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133117) 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 3 ways as a sum of consecutive naturals, for example, 6040 + ... + 6061.

It is an arithmetic number, because the mean of its divisors is an integer number (36306).

2133111 is an apocalyptic number.

133111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133111 is a deficient number, since it is larger than the sum of its proper divisors (12113).

133111 is a wasteful number, since it uses less digits than its factorization.

133111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112.

The product of its digits is 9, while the sum is 10.

The square root of 133111 is about 364.8438021949. The cubic root of 133111 is about 51.0588836731.

Adding to 133111 its reverse (111331), we get a palindrome (244442).

It can be divided in two parts, 1331 and 11, that multiplied together give a palindrome (14641).

The spelling of 133111 in words is "one hundred thirty-three thousand, one hundred eleven".

Divisors: 1 11 12101 133111