Search a number
-
+
2011200111120 = 243537832728753
BaseRepresentation
bin11101010001000100110…
…111100100001000010000
321010021020222211110001110
4131101010313210020100
5230422414212023440
64135533234133320
7265206261610164
oct35210467441020
97107228743043
102011200111120
11705a44038072
1228594aa21240
13117869a84765
146d4b2170ca4
15374b13e9080
hex1d444de4210

2011200111120 has 160 divisors (see below), whose sum is σ = 6480375979392. Its totient is φ = 515537657856.

The previous prime is 2011200111119. The next prime is 2011200111131. The reversal of 2011200111120 is 211110021102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2011200111096 and 2011200111105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627337 + ... + 2101416.

Almost surely, 22011200111120 is an apocalyptic number.

2011200111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011200111120 is an abundant number, since it is smaller than the sum of its proper divisors (4469175868272).

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

2011200111120 is a wasteful number, since it uses less digits than its factorization.

2011200111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728889 (or 2728883 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011200111120 its reverse (211110021102), we get a palindrome (2222310132222).

The spelling of 2011200111120 in words is "two trillion, eleven billion, two hundred million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 83 111 120 148 166 185 222 240 249 296 332 370 415 444 498 555 592 664 740 830 888 996 1110 1245 1328 1480 1660 1776 1992 2220 2490 2960 3071 3320 3984 4440 4980 6142 6640 8880 9213 9960 12284 15355 18426 19920 24568 30710 36852 46065 49136 61420 73704 92130 122840 147408 184260 245680 368520 737040 2728753 5457506 8186259 10915012 13643765 16372518 21830024 27287530 32745036 40931295 43660048 54575060 65490072 81862590 100963861 109150120 130980144 163725180 201927722 218300240 226486499 302891583 327450360 403855444 452972998 504819305 605783166 654900720 679459497 807710888 905945996 1009638610 1132432495 1211566332 1358918994 1514457915 1615421776 1811891992 2019277220 2264864990 2423132664 2717837988 3028915830 3397297485 3623783984 4038554440 4529729980 4846265328 5435675976 6057831660 6794594970 8077108880 8380000463 9059459960 10871351952 12115663320 13589189940 16760000926 18118919920 24231326640 25140001389 27178379880 33520001852 41900002315 50280002778 54356759760 67040003704 83800004630 100560005556 125700006945 134080007408 167600009260 201120011112 251400013890 335200018520 402240022224 502800027780 670400037040 1005600055560 2011200111120