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11122200212200 = 23527211103174399
BaseRepresentation
bin1010000111011001011011…
…0010101111001011101000
31110101021100020220122112121
42201312112302233023220
52424211231223242300
635353245050121024
72225360326640500
oct241662662571350
943337306818477
1011122200212200
1135a8998079020
1212b7682420174
13628a853b551c
142a6462bb2a00
151444a98be81a
hexa1d96caf2e8

11122200212200 has 144 divisors (see below), whose sum is σ = 32815649664000. Its totient is φ = 3466659772800.

The previous prime is 11122200212197. The next prime is 11122200212237. The reversal of 11122200212200 is 221200222111.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51479400 + ... + 51694999.

It is an arithmetic number, because the mean of its divisors is an integer number (227886456000).

Almost surely, 211122200212200 is an apocalyptic number.

11122200212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122200212200 is an abundant number, since it is smaller than the sum of its proper divisors (21693449451800).

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

11122200212200 is a wasteful number, since it uses less digits than its factorization.

11122200212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103174440 (or 103174424 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11122200212200 its reverse (221200222111), we get a palindrome (11343400434311).

The spelling of 11122200212200 in words is "eleven trillion, one hundred twenty-two billion, two hundred million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 440 490 539 550 616 700 770 980 1078 1100 1225 1400 1540 1925 1960 2156 2200 2450 2695 3080 3850 4312 4900 5390 7700 9800 10780 13475 15400 21560 26950 53900 107800 103174399 206348798 412697596 515871995 722220793 825395192 1031743990 1134918389 1444441586 2063487980 2269836778 2579359975 2888883172 3611103965 4126975960 4539673556 5055545551 5158719950 5674591945 5777766344 7222207930 7944428723 9079347112 10111091102 10317439900 11349183890 14444415860 15888857446 18055519825 20222182204 20634879800 22698367780 25277727755 28372959725 28888831720 31777714892 36111039650 39722143615 40444364408 45396735560 50555455510 55611001061 56745919450 63555429784 72222079300 79444287230 101110911020 111222002122 113491838900 126388638775 144444158600 158888574460 198610718075 202221822040 222444004244 226983677800 252777277550 278055005305 317777148920 397221436150 444888008488 505554555100 556110010610 794442872300 1011109110200 1112220021220 1390275026525 1588885744600 2224440042440 2780550053050 5561100106100 11122200212200