Base | Representation |
---|---|
bin | 10110101111101100… |
… | …11101011000000011 |
3 | 1011112000201221002200 |
4 | 23113312131120003 |
5 | 200002043442011 |
6 | 5335414444243 |
7 | 611415304044 |
oct | 132766353003 |
9 | 34460657080 |
10 | 12211312131 |
11 | 51a6a705a7 |
12 | 2449663683 |
13 | 11c7b7c9a5 |
14 | 83bb068cb |
15 | 4b70b1856 |
hex | 2d7d9d603 |
12211312131 has 24 divisors (see below), whose sum is σ = 18140557344. Its totient is φ = 7909799040.
The previous prime is 12211312093. The next prime is 12211312133. The reversal of 12211312131 is 13121311221.
12211312131 is a `hidden beast` number, since 1 + 221 + 1 + 312 + 131 = 666.
It is not a de Polignac number, because 12211312131 - 213 = 12211303939 is a prime.
It is a super-3 number, since 3×122113121313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (12211312133) 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 23 ways as a sum of consecutive naturals, for example, 216871 + ... + 267311.
It is an arithmetic number, because the mean of its divisors is an integer number (755856556).
Almost surely, 212211312131 is an apocalyptic number.
12211312131 is a deficient number, since it is larger than the sum of its proper divisors (5929245213).
12211312131 is a wasteful number, since it uses less digits than its factorization.
12211312131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51211 (or 51208 counting only the distinct ones).
The product of its digits is 72, while the sum is 18.
Adding to 12211312131 its reverse (13121311221), we get a palindrome (25332623352).
The spelling of 12211312131 in words is "twelve billion, two hundred eleven million, three hundred twelve thousand, one hundred thirty-one".
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