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112012876000 = 255394129759
BaseRepresentation
bin110100001010001111…
…1001101100011100000
3101201010100222200011001
41220110133031203200
53313400244013000
6123242532401344
711043532510414
oct1502437154340
9351110880131
10112012876000
11435603916a3
1219860a76254
13a741531bac
1455c8670d44
152da8ba046a
hex1a147cd8e0

112012876000 has 96 divisors (see below), whose sum is σ = 275517365760. Its totient is φ = 44756032000.

The previous prime is 112012875991. The next prime is 112012876033. The reversal of 112012876000 is 678210211.

It is a self number, because there is not a number n which added to its sum of digits gives 112012876000.

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 15 ways as a sum of consecutive naturals, for example, 3749121 + ... + 3778879.

It is an arithmetic number, because the mean of its divisors is an integer number (2869972560).

Almost surely, 2112012876000 is an apocalyptic number.

112012876000 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 112012876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137758682880).

112012876000 is an abundant number, since it is smaller than the sum of its proper divisors (163504489760).

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

112012876000 is an equidigital number, since it uses as much as digits as its factorization.

112012876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30725 (or 30707 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 112012876000 in words is "one hundred twelve billion, twelve million, eight hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 941 1000 1882 2000 3764 4000 4705 7528 9410 15056 18820 23525 29759 30112 37640 47050 59518 75280 94100 117625 119036 148795 150560 188200 235250 238072 297590 376400 470500 476144 595180 743975 752800 941000 952288 1190360 1487950 1882000 2380720 2975900 3719875 3764000 4761440 5951800 7439750 11903600 14879500 23807200 28003219 29759000 56006438 59518000 112012876 119036000 140016095 224025752 280032190 448051504 560064380 700080475 896103008 1120128760 1400160950 2240257520 2800321900 3500402375 4480515040 5600643800 7000804750 11201287600 14001609500 22402575200 28003219000 56006438000 112012876000