Base | Representation |
---|---|
bin | 10110100110001000… |
… | …01011001000001010 |
3 | 1011022102122201211000 |
4 | 23103010023020022 |
5 | 144321020140242 |
6 | 5323425515430 |
7 | 606421660050 |
oct | 132304131012 |
9 | 34272581730 |
10 | 12131021322 |
11 | 5165710962 |
12 | 24267a2b76 |
13 | 11b434a134 |
14 | 8311a61d0 |
15 | 4b0001a4c |
hex | 2d310b20a |
12131021322 has 128 divisors (see below), whose sum is σ = 31630118400. Its totient is φ = 3374784000.
The previous prime is 12131021321. The next prime is 12131021327. The reversal of 12131021322 is 22312013121.
12131021322 is a `hidden beast` number, since 12 + 1 + 310 + 21 + 322 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 12131021295 and 12131021304.
It is not an unprimeable number, because it can be changed into a prime (12131021321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2326254 + ... + 2331462.
It is an arithmetic number, because the mean of its divisors is an integer number (247110300).
Almost surely, 212131021322 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12131021322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815059200).
12131021322 is an abundant number, since it is smaller than the sum of its proper divisors (19499097078).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12131021322 is a wasteful number, since it uses less digits than its factorization.
12131021322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5389 (or 5383 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 12131021322 its reverse (22312013121), we get a palindrome (34443034443).
The spelling of 12131021322 in words is "twelve billion, one hundred thirty-one million, twenty-one thousand, three hundred twenty-two".
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