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12330000300 = 223523172409
BaseRepresentation
bin10110111101110110…
…01101111110101100
31011211022001220122210
423132323031332230
5200222440002200
65355254410420
7614356162512
oct133673157654
934738056583
1012330000300
115257a667a2
122481360a10
131216637787
1484d7a04b2
154c2708650
hex2deecdfac

12330000300 has 108 divisors (see below), whose sum is σ = 35875195160. Its totient is φ = 3269614080.

The previous prime is 12330000289. The next prime is 12330000313. The reversal of 12330000300 is 300003321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30146496 + ... + 30146904.

Almost surely, 212330000300 is an apocalyptic number.

12330000300 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 12330000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17937597580).

12330000300 is an abundant number, since it is smaller than the sum of its proper divisors (23545194860).

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

12330000300 is a wasteful number, since it uses less digits than its factorization.

12330000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 12330000300 its reverse (300003321), we get a palindrome (12630003621).

The spelling of 12330000300 in words is "twelve billion, three hundred thirty million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 317 409 634 818 951 1227 1268 1585 1636 1902 2045 2454 3170 3804 4090 4755 4908 6135 6340 7925 8180 9510 10225 12270 15850 19020 20450 23775 24540 30675 31700 40900 47550 61350 95100 100489 122700 129653 200978 259306 301467 388959 401956 502445 518612 602934 648265 777918 1004890 1205868 1296530 1507335 1555836 1944795 2009780 2512225 2593060 3014670 3241325 3889590 5024450 6029340 6482650 7536675 7779180 9723975 10048900 12965300 15073350 19447950 30146700 38895900 41100001 82200002 123300003 164400004 205500005 246600006 411000010 493200012 616500015 822000020 1027500025 1233000030 2055000050 2466000060 3082500075 4110000100 6165000150 12330000300