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112300122200 = 23527166748119
BaseRepresentation
bin110100010010110011…
…0111110000001011000
3101201212101111021212012
41220211212332001120
53314442312402300
6123331233205052
711053621201040
oct1504546760130
9351771437765
10112300122200
1143698544a52
1219921100788
13a788bb5866
145614884720
152dc3ee0435
hex1a259be058

112300122200 has 96 divisors (see below), whose sum is σ = 298582675200. Its totient is φ = 38479002240.

The previous prime is 112300122173. The next prime is 112300122257. The reversal of 112300122200 is 2221003211.

It is a happy number.

It is a super-2 number, since 2×1123001222002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 23 ways as a sum of consecutive naturals, for example, 2309741 + ... + 2357859.

It is an arithmetic number, because the mean of its divisors is an integer number (3110236200).

Almost surely, 2112300122200 is an apocalyptic number.

112300122200 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 112300122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149291337600).

112300122200 is an abundant number, since it is smaller than the sum of its proper divisors (186282553000).

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

112300122200 is a wasteful number, since it uses less digits than its factorization.

112300122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49809 (or 49800 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 112300122200 its reverse (2221003211), we get a palindrome (114521125411).

The spelling of 112300122200 in words is "one hundred twelve billion, three hundred million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1667 3334 6668 8335 11669 13336 16670 23338 33340 41675 46676 48119 58345 66680 83350 93352 96238 116690 166700 192476 233380 240595 291725 333400 336833 384952 466760 481190 583450 673666 962380 1166900 1202975 1347332 1684165 1924760 2333800 2405950 2694664 3368330 4811900 6736660 8420825 9623800 13473320 16841650 33683300 67366600 80214373 160428746 320857492 401071865 561500611 641714984 802143730 1123001222 1604287460 2005359325 2246002444 2807503055 3208574920 4010718650 4492004888 5615006110 8021437300 11230012220 14037515275 16042874600 22460024440 28075030550 56150061100 112300122200