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112120302300 = 2235217175312541
BaseRepresentation
bin110100001101011100…
…1000000101011011100
3101201101212010111022220
41220122321000223130
53314110244133200
6123301331105340
711046305562546
oct1503271005334
9351355114286
10112120302300
1143605a95666
1219890a42250
13a75a875956
1455d8a36696
152db33204a0
hex1a1ae40adc

112120302300 has 144 divisors (see below), whose sum is σ = 343707188832. Its totient is φ = 28121702400.

The previous prime is 112120302289. The next prime is 112120302347. The reversal of 112120302300 is 3203021211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112120302300.

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 47 ways as a sum of consecutive naturals, for example, 8934030 + ... + 8946570.

It is an arithmetic number, because the mean of its divisors is an integer number (2386855478).

Almost surely, 2112120302300 is an apocalyptic number.

112120302300 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 112120302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171853594416).

112120302300 is an abundant number, since it is smaller than the sum of its proper divisors (231586886532).

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

112120302300 is a wasteful number, since it uses less digits than its factorization.

112120302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14328 (or 14321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112120302300 its reverse (3203021211), we get a palindrome (115323323511).

The spelling of 112120302300 in words is "one hundred twelve billion, one hundred twenty million, three hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 1753 2550 3506 5100 5259 7012 8765 10518 12541 17530 21036 25082 26295 29801 35060 37623 43825 50164 52590 59602 62705 75246 87650 89403 105180 119204 125410 131475 149005 150492 175300 178806 188115 213197 250820 262950 298010 313525 357612 376230 426394 447015 525900 596020 627050 639591 745025 752460 852788 894030 940575 1065985 1254100 1279182 1490050 1788060 1881150 2131970 2235075 2558364 2980100 3197955 3762300 4263940 4470150 5329925 6395910 8940300 10659850 12791820 15989775 21319700 21984373 31979550 43968746 63959100 65953119 87937492 109921865 131906238 219843730 263812476 329765595 373734341 439687460 549609325 659531190 747468682 1099218650 1121203023 1319062380 1494937364 1648827975 1868671705 2198437300 2242406046 3297655950 3737343410 4484812092 5606015115 6595311900 7474686820 9343358525 11212030230 18686717050 22424060460 28030075575 37373434100 56060151150 112120302300