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2003000112300 = 22352111454941719
BaseRepresentation
bin11101001001011100000…
…111000011010010101100
321002111002112002100100110
4131021130013003102230
5230304121012043200
64132055431500020
7264466132016115
oct35113407032254
97074075070313
102003000112300
11702516388640
12284240827610
13116b60c87a55
146cd350c520c
1537181594b50
hex1d25c1c34ac

2003000112300 has 144 divisors (see below), whose sum is σ = 6322782816000. Its totient is φ = 485530771200.

The previous prime is 2003000112247. The next prime is 2003000112313. The reversal of 2003000112300 is 32110003002.

It is a happy number.

It is a super-2 number, since 2×20030001123002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 47990841 + ... + 48032559.

It is an arithmetic number, because the mean of its divisors is an integer number (43908214000).

Almost surely, 22003000112300 is an apocalyptic number.

2003000112300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003000112300 is an abundant number, since it is smaller than the sum of its proper divisors (4319782703700).

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

2003000112300 is a wasteful number, since it uses less digits than its factorization.

2003000112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56296 (or 56289 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2003000112300 its reverse (32110003002), we get a palindrome (2035110115302).

The spelling of 2003000112300 in words is "two trillion, three billion, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 14549 29098 41719 43647 58196 72745 83438 87294 125157 145490 160039 166876 174588 208595 218235 250314 290980 320078 363725 417190 436470 458909 480117 500628 625785 640156 727450 800195 834380 872940 917818 960234 1042975 1091175 1251570 1376727 1454900 1600390 1835636 1920468 2085950 2182350 2294545 2400585 2503140 2753454 3128925 3200780 4000975 4171900 4364700 4589090 4801170 5506908 6257850 6883635 8001950 9178180 9602340 11472725 12002925 12515700 13767270 16003900 22945450 24005850 27534540 34418175 45890900 48011700 68836350 137672700 606969731 1213939462 1820909193 2427878924 3034848655 3641818386 6069697310 6676667041 7283636772 9104545965 12139394620 13353334082 15174243275 18209091930 20030001123 26706668164 30348486550 33383335205 36418183860 40060002246 45522729825 60696973100 66766670410 80120004492 91045459650 100150005615 133533340820 166916676025 182090919300 200300011230 333833352050 400600022460 500750028075 667666704100 1001500056150 2003000112300