Search a number
-
+
12322003300 = 22521039831217
BaseRepresentation
bin10110111100111001…
…01101100101100100
31011210202000121211121
423132130231211210
5200213413101200
65354411143324
7614231204605
oct133634554544
934722017747
1012322003300
1152534a4502
12247a744b44
131214a97819
1484c6bbdac
154c1b78e1a
hex2de72d964

12322003300 has 72 divisors (see below), whose sum is σ = 27048018816. Its totient is φ = 4871976960.

The previous prime is 12322003283. The next prime is 12322003303. The reversal of 12322003300 is 330022321.

It is not an unprimeable number, because it can be changed into a prime (12322003303) 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, 10124292 + ... + 10125508.

It is an arithmetic number, because the mean of its divisors is an integer number (375666928).

Almost surely, 212322003300 is an apocalyptic number.

12322003300 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 12322003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524009408).

12322003300 is an abundant number, since it is smaller than the sum of its proper divisors (14726015516).

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

12322003300 is a wasteful number, since it uses less digits than its factorization.

12322003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 12322003300 its reverse (330022321), we get a palindrome (12652025621).

The spelling of 12322003300 in words is "twelve billion, three hundred twenty-two million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 983 1030 1217 1966 2060 2434 2575 3932 4868 4915 5150 6085 9830 10300 12170 19660 24340 24575 30425 49150 60850 98300 101249 121700 125351 202498 250702 404996 501404 506245 626755 1012490 1196311 1253510 2024980 2392622 2507020 2531225 3133775 4785244 5062450 5981555 6267550 10124900 11963110 12535100 23926220 29907775 59815550 119631100 123220033 246440066 492880132 616100165 1232200330 2464400660 3080500825 6161001650 12322003300