Search a number
-
+
21311201133 = 3237611049141
BaseRepresentation
bin10011110110001111…
…110001111101101101
32001000012210012001200
4103312033301331231
5322121131414013
613442405000113
71353053135505
oct236617617555
961005705050
1021311201133
119046687922
1241690b3039
1320182350b1
1410624c0a05
1584ae1ee73
hex4f63f1f6d

21311201133 has 24 divisors (see below), whose sum is σ = 32133121176. Its totient is φ = 13596854400.

The previous prime is 21311201123. The next prime is 21311201179. The reversal of 21311201133 is 33110211312.

21311201133 is a `hidden beast` number, since 21 + 311 + 201 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2989683684 + 18321517449 = 54678^2 + 135357^2 .

It is not a de Polignac number, because 21311201133 - 25 = 21311201101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21311201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504258 + ... + 544883.

It is an arithmetic number, because the mean of its divisors is an integer number (1338880049).

Almost surely, 221311201133 is an apocalyptic number.

It is an amenable number.

21311201133 is a deficient number, since it is larger than the sum of its proper divisors (10821920043).

21311201133 is a wasteful number, since it uses less digits than its factorization.

21311201133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049245 (or 1049242 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21311201133 its reverse (33110211312), we get a palindrome (54421412445).

The spelling of 21311201133 in words is "twenty-one billion, three hundred eleven million, two hundred one thousand, one hundred thirty-three".

Divisors: 1 3 9 37 61 111 183 333 549 2257 6771 20313 1049141 3147423 9442269 38818217 63997601 116454651 191992803 349363953 575978409 2367911237 7103733711 21311201133