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2112344220300 = 2235217968357593
BaseRepresentation
bin11110101111010001100…
…001101110001010001100
321110221022220022120001020
4132233101201232022030
5234102040110022200
64254221511314140
7305416600423026
oct36572141561214
97427286276036
102112344220300
11744927275346
122a147797b950
13124268619b82
1474349133016
1539e30ccdea0
hex1ebd186e28c

2112344220300 has 144 divisors (see below), whose sum is σ = 6154964807040. Its totient is φ = 559315074560.

The previous prime is 2112344220277. The next prime is 2112344220313. The reversal of 2112344220300 is 30224432112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36648304 + ... + 36705896.

It is an arithmetic number, because the mean of its divisors is an integer number (42742811160).

Almost surely, 22112344220300 is an apocalyptic number.

2112344220300 is a gapful number since it is divisible by the number (20) 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 2112344220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077482403520).

2112344220300 is an abundant number, since it is smaller than the sum of its proper divisors (4042620586740).

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

2112344220300 is a wasteful number, since it uses less digits than its factorization.

2112344220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58472 (or 58465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2112344220300 its reverse (30224432112), we get a palindrome (2142568652412).

The spelling of 2112344220300 in words is "two trillion, one hundred twelve billion, three hundred forty-four million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 179 300 358 537 683 716 895 1074 1366 1790 2049 2148 2685 2732 3415 3580 4098 4475 5370 6830 8196 8950 10245 10740 13425 13660 17075 17900 20490 26850 34150 40980 51225 53700 57593 68300 102450 115186 122257 172779 204900 230372 244514 287965 345558 366771 489028 575930 611285 691116 733542 863895 1151860 1222570 1439825 1467084 1727790 1833855 2445140 2879650 3056425 3455580 3667710 4319475 5759300 6112850 7335420 8638950 9169275 10309147 12225700 17277900 18338550 20618294 30927441 36677100 39336019 41236588 51545735 61854882 78672038 103091470 118008057 123709764 154637205 157344076 196680095 206182940 236016114 257728675 309274410 393360190 472032228 515457350 590040285 618548820 773186025 786720380 983400475 1030914700 1180080570 1546372050 1966800950 2360161140 2950201425 3092744100 3933601900 5900402850 7041147401 11800805700 14082294802 21123442203 28164589604 35205737005 42246884406 70411474010 84493768812 105617211015 140822948020 176028685025 211234422030 352057370050 422468844060 528086055075 704114740100 1056172110150 2112344220300