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211133 = 13109149
BaseRepresentation
bin110011100010111101
3101201121202
4303202331
523224013
64305245
71536356
oct634275
9351552
10211133
1113469a
12a2225
1375140
1456d2d
1542858
hex338bd

211133 has 8 divisors (see below), whose sum is σ = 231000. Its totient is φ = 191808.

The previous prime is 211129. The next prime is 211151. The reversal of 211133 is 331112.

It can be written as a sum of positive squares in 4 ways, for example, as 1369 + 209764 = 37^2 + 458^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211133 - 22 = 211129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 11 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211153) 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 7 ways as a sum of consecutive naturals, for example, 1343 + ... + 1491.

It is an arithmetic number, because the mean of its divisors is an integer number (28875).

2211133 is an apocalyptic number.

It is an amenable number.

211133 is a deficient number, since it is larger than the sum of its proper divisors (19867).

211133 is a wasteful number, since it uses less digits than its factorization.

211133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its digits is 18, while the sum is 11.

The square root of 211133 is about 459.4921109225. The cubic root of 211133 is about 59.5459241054.

Adding to 211133 its reverse (331112), we get a palindrome (542245).

The spelling of 211133 in words is "two hundred eleven thousand, one hundred thirty-three".

Divisors: 1 13 109 149 1417 1937 16241 211133