Search a number
-
+
112321123300 = 2252172328110223
BaseRepresentation
bin110100010011011011…
…1000101001111100100
3101201220212000020221201
41220212313011033210
53320013201421200
6123333303252244
711054264536531
oct1504667051744
9351825006851
10112321123300
11436a9389431
121992814a084
13a790359849
14561758dd88
152dc5c8cc6a
hex1a26dc53e4

112321123300 has 144 divisors (see below), whose sum is σ = 270279700992. Its totient is φ = 40299212800.

The previous prime is 112321123297. The next prime is 112321123319. The reversal of 112321123300 is 3321123211.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10981989 + ... + 10992211.

It is an arithmetic number, because the mean of its divisors is an integer number (1876942368).

Almost surely, 2112321123300 is an apocalyptic number.

112321123300 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 112321123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135139850496).

112321123300 is an abundant number, since it is smaller than the sum of its proper divisors (157958577692).

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

112321123300 is a wasteful number, since it uses less digits than its factorization.

112321123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10558 (or 10551 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 112321123300 its reverse (3321123211), we get a palindrome (115642246511).

The spelling of 112321123300 in words is "one hundred twelve billion, three hundred twenty-one million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 281 340 391 425 460 562 575 782 850 1124 1150 1405 1564 1700 1955 2300 2810 3910 4777 5620 6463 7025 7820 9554 9775 10223 12926 14050 19108 19550 20446 23885 25852 28100 32315 39100 40892 47770 51115 64630 95540 102230 109871 119425 129260 161575 173791 204460 219742 235129 238850 255575 323150 347582 439484 470258 477700 511150 549355 646300 695164 868955 940516 1022300 1098710 1175645 1737910 2197420 2351290 2746775 2872663 3475820 3997193 4344775 4702580 5493550 5745326 5878225 7994386 8689550 10987100 11490652 11756450 14363315 15988772 17379100 19985965 23512900 28726630 39971930 48835271 57453260 66071249 71816575 79943860 97670542 99929825 132142498 143633150 195341084 199859650 244176355 264284996 287266300 330356245 399719300 488352710 660712490 976705420 1123211233 1220881775 1321424980 1651781225 2246422466 2441763550 3303562450 4492844932 4883527100 5616056165 6607124900 11232112330 22464224660 28080280825 56160561650 112321123300