Base | Representation |
---|---|
bin | 1000001111001011… |
… | …0010111011111011 |
3 | 12201002122002200121 |
4 | 2003302302323323 |
5 | 14012022144011 |
6 | 1003224114111 |
7 | 105536206306 |
oct | 20362627373 |
9 | 5632562617 |
10 | 2211131131 |
11 | a35142600 |
12 | 518605937 |
13 | 29312b021 |
14 | 16d937b3d |
15 | ce1b9e71 |
hex | 83cb2efb |
2211131131 has 12 divisors (see below), whose sum is σ = 2433366936. Its totient is φ = 2007679520.
The previous prime is 2211131123. The next prime is 2211131147. The reversal of 2211131131 is 1311311122.
It is a happy number.
It is not a de Polignac number, because 2211131131 - 23 = 2211131123 is a prime.
It is a super-2 number, since 2×22111311312 = 9778201756954678322, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2211131191) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93036 + ... + 114358.
It is an arithmetic number, because the mean of its divisors is an integer number (202780578).
Almost surely, 22211131131 is an apocalyptic number.
2211131131 is a deficient number, since it is larger than the sum of its proper divisors (222235805).
2211131131 is a wasteful number, since it uses less digits than its factorization.
2211131131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22202 (or 22191 counting only the distinct ones).
The product of its digits is 36, while the sum is 16.
The square root of 2211131131 is about 47022.6661409155. Note that the first 3 decimals coincide. The cubic root of 2211131131 is about 1302.7812508082.
Adding to 2211131131 its reverse (1311311122), we get a palindrome (3522442253).
Subtracting from 2211131131 its reverse (1311311122), we obtain a square (899820009 = 299972).
The spelling of 2211131131 in words is "two billion, two hundred eleven million, one hundred thirty-one thousand, one hundred thirty-one".
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