Base | Representation |
---|---|
bin | 10110101110010111… |
… | …10011111011100010 |
3 | 1011111020200221021200 |
4 | 23113023303323202 |
5 | 144441213213242 |
6 | 5334335102030 |
7 | 611221261620 |
oct | 132713637342 |
9 | 34436627250 |
10 | 12200132322 |
11 | 51a0724a94 |
12 | 2445971916 |
13 | 11c5767111 |
14 | 83a436510 |
15 | 4b610404c |
hex | 2d72f3ee2 |
12200132322 has 96 divisors (see below), whose sum is σ = 32096563200. Its totient is φ = 3274556544.
The previous prime is 12200132317. The next prime is 12200132327. The reversal of 12200132322 is 22323100221.
12200132322 is a `hidden beast` number, since 12 + 200 + 132 + 322 = 666.
It is an interprime number because it is at equal distance from previous prime (12200132317) and next prime (12200132327).
It is a super-2 number, since 2×122001323222 (a number of 21 digits) contains 22 as substring.
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 = 12200132295 and 12200132304.
It is not an unprimeable number, because it can be changed into a prime (12200132327) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90079 + ... + 180317.
It is an arithmetic number, because the mean of its divisors is an integer number (334339200).
Almost surely, 212200132322 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12200132322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048281600).
12200132322 is an abundant number, since it is smaller than the sum of its proper divisors (19896430878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12200132322 is a wasteful number, since it uses less digits than its factorization.
12200132322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90320 (or 90317 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 12200132322 its reverse (22323100221), we get a palindrome (34523232543).
The spelling of 12200132322 in words is "twelve billion, two hundred million, one hundred thirty-two thousand, three hundred twenty-two".
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