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12244220300 = 22521320874513
BaseRepresentation
bin10110110011100111…
…11111100110001100
31011121022122211121202
423121303333212030
5200034010022200
65342552045032
7612265104164
oct133163774614
934538584552
1012244220300
1152135a7a34
122458693778
131201932590
148422315a4
154b9e121d5
hex2d9cff98c

12244220300 has 72 divisors (see below), whose sum is σ = 28633854816. Its totient is φ = 4517775360.

The previous prime is 12244220281. The next prime is 12244220309. The reversal of 12244220300 is 302244221.

It is a super-3 number, since 3×122442203003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12244220309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2710844 + ... + 2715356.

It is an arithmetic number, because the mean of its divisors is an integer number (397692428).

Almost surely, 212244220300 is an apocalyptic number.

12244220300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12244220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316927408).

12244220300 is an abundant number, since it is smaller than the sum of its proper divisors (16389634516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12244220300 is a wasteful number, since it uses less digits than its factorization.

12244220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12244220300 its reverse (302244221), we get a palindrome (12546464521).

The spelling of 12244220300 in words is "twelve billion, two hundred forty-four million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2087 4174 4513 8348 9026 10435 18052 20870 22565 27131 41740 45130 52175 54262 58669 90260 104350 108524 112825 117338 135655 208700 225650 234676 271310 293345 451300 542620 586690 678275 1173380 1356550 1466725 2713100 2933450 5866900 9418631 18837262 37674524 47093155 94186310 122442203 188372620 235465775 244884406 470931550 489768812 612211015 941863100 1224422030 2448844060 3061055075 6122110150 12244220300