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12105330300 = 22325271921481
BaseRepresentation
bin10110100011000100…
…01010111001111100
31011020122022111100200
423101202022321330
5144242431032200
65321111123500
7605660416110
oct132142127174
934218274320
1012105330300
115152163908
12241a073590
1311abc2354b
1482b9d9740
154acb29800
hex2d188ae7c

12105330300 has 108 divisors (see below), whose sum is σ = 43364005776. Its totient is φ = 2766931200.

The previous prime is 12105330241. The next prime is 12105330313. The reversal of 12105330300 is 303350121.

12105330300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 954441 + ... + 967040.

It is an arithmetic number, because the mean of its divisors is an integer number (401518572).

Almost surely, 212105330300 is an apocalyptic number.

12105330300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12105330300 is an abundant number, since it is smaller than the sum of its proper divisors (31258675476).

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

12105330300 is a wasteful number, since it uses less digits than its factorization.

12105330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921508 (or 1921498 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 12105330300 its reverse (303350121), we get a palindrome (12408680421).

The spelling of 12105330300 in words is "twelve billion, one hundred five million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 1921481 3842962 5764443 7685924 9607405 11528886 13450367 17293329 19214810 23057772 26900734 28822215 34586658 38429620 40351101 48037025 53801468 57644430 67251835 69173316 80702202 86466645 96074050 115288860 121053303 134503670 144111075 161404404 172933290 192148100 201755505 242106606 269007340 288222150 336259175 345866580 403511010 432333225 484213212 576444300 605266515 672518350 807022020 864666450 1008777525 1210533030 1345036700 1729332900 2017555050 2421066060 3026332575 4035110100 6052665150 12105330300