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112300233320 = 235112328333917
BaseRepresentation
bin110100010010110011…
…1011001001001101000
3101201212101200221021202
41220211213121021220
53314442324431240
6123331235423332
711053622143022
oct1504547311150
9351771627252
10112300233320
1143698610490
1219921154b48
13a788c24302
1456148b3012
152dc4013315
hex1a259d9268

112300233320 has 128 divisors (see below), whose sum is σ = 287805623040. Its totient is φ = 39037194240.

The previous prime is 112300233313. The next prime is 112300233341. The reversal of 112300233320 is 23332003211.

It is a super-2 number, since 2×1123002333202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112300233292 and 112300233301.

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 31 ways as a sum of consecutive naturals, for example, 28668002 + ... + 28671918.

It is an arithmetic number, because the mean of its divisors is an integer number (2248481430).

Almost surely, 2112300233320 is an apocalyptic number.

112300233320 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 112300233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143902811520).

112300233320 is an abundant number, since it is smaller than the sum of its proper divisors (175505389720).

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

112300233320 is a wasteful number, since it uses less digits than its factorization.

112300233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 112300233320 its reverse (23332003211), we get a palindrome (135632236531).

The spelling of 112300233320 in words is "one hundred twelve billion, three hundred million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 2833 3917 5060 5666 7834 10120 11332 14165 15668 19585 22664 28330 31163 31336 39170 43087 56660 62326 65159 78340 86174 90091 113320 124652 130318 155815 156680 172348 180182 215435 249304 260636 311630 325795 344696 360364 430870 450455 521272 623260 651590 716749 720728 861740 900910 991001 1246520 1303180 1433498 1723480 1801820 1982002 2606360 2866996 3583745 3603640 3964004 4955005 5733992 7167490 7928008 9910010 11096861 14334980 19820020 22193722 28669960 39640040 44387444 55484305 88774888 110968610 122065471 221937220 244130942 255227803 443874440 488261884 510455606 610327355 976523768 1020911212 1220654710 1276139015 2041822424 2441309420 2552278030 2807505833 4882618840 5104556060 5615011666 10209112120 11230023332 14037529165 22460046664 28075058330 56150116660 112300233320