Search a number
-
+
112000334000 = 24533110916573
BaseRepresentation
bin110100001001110111…
…1010111100010110000
3101201002111101110202112
41220103233113202300
53313334041142000
6123241403504452
711043321063002
oct1502357274260
9351074343675
10112000334000
11435542a5705
1219858828128
13a73ba602a9
1455c6b28372
152da7a24235
hex1a13bd78b0

112000334000 has 160 divisors (see below), whose sum is σ = 282134561280. Its totient is φ = 42954624000.

The previous prime is 112000333993. The next prime is 112000334021. The reversal of 112000334000 is 433000211.

It is a super-2 number, since 2×1120003340002 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6749714 + ... + 6766286.

It is an arithmetic number, because the mean of its divisors is an integer number (1763341008).

Almost surely, 2112000334000 is an apocalyptic number.

112000334000 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 112000334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141067280640).

112000334000 is an abundant number, since it is smaller than the sum of its proper divisors (170134227280).

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

112000334000 is a wasteful number, since it uses less digits than its factorization.

112000334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16736 (or 16720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 112000334000 its reverse (433000211), we get a palindrome (112433334211).

The spelling of 112000334000 in words is "one hundred twelve billion, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 109 124 125 155 200 218 248 250 310 400 436 496 500 545 620 775 872 1000 1090 1240 1550 1744 2000 2180 2480 2725 3100 3379 3875 4360 5450 6200 6758 7750 8720 10900 12400 13516 13625 15500 16573 16895 21800 27032 27250 31000 33146 33790 43600 54064 54500 62000 66292 67580 82865 84475 109000 132584 135160 165730 168950 218000 265168 270320 331460 337900 414325 422375 513763 662920 675800 828650 844750 1027526 1325840 1351600 1657300 1689500 1806457 2055052 2071625 2568815 3314600 3379000 3612914 4110104 4143250 5137630 6629200 6758000 7225828 8220208 8286500 9032285 10275260 12844075 14451656 16573000 18064570 20550520 25688150 28903312 33146000 36129140 41101040 45161425 51376300 56000167 64220375 72258280 90322850 102752600 112000334 128440750 144516560 180645700 205505200 224000668 225807125 256881500 280000835 361291400 448001336 451614250 513763000 560001670 722582800 896002672 903228500 1027526000 1120003340 1400004175 1806457000 2240006680 2800008350 3612914000 4480013360 5600016700 7000020875 11200033400 14000041750 22400066800 28000083500 56000167000 112000334000