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20022111011100 = 223521123263795929
BaseRepresentation
bin1001000110101110000101…
…10100001000000100011100
32121220002120100020020201210
410203113002310020010130
510111020240404323400
6110330010353504420
74134356401353042
oct443270264100434
977802510206653
1020022111011100
11641a369765a30
1222b4504572110
13b23100133363
144d310aa58392
1524ac4b0e1950
hex1235c2d0811c

20022111011100 has 144 divisors (see below), whose sum is σ = 65944761765120. Its totient is φ = 4642808332800.

The previous prime is 20022111011093. The next prime is 20022111011129. The reversal of 20022111011100 is 111011122002.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 131822065 + ... + 131973864.

It is an arithmetic number, because the mean of its divisors is an integer number (457949734480).

Almost surely, 220022111011100 is an apocalyptic number.

20022111011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022111011100 is an abundant number, since it is smaller than the sum of its proper divisors (45922650754020).

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

20022111011100 is a wasteful number, since it uses less digits than its factorization.

20022111011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263795980 (or 263795973 counting only the distinct ones).

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

Adding to 20022111011100 its reverse (111011122002), we get a palindrome (20133122133102).

The spelling of 20022111011100 in words is "twenty trillion, twenty-two billion, one hundred eleven million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 37950 75900 263795929 527591858 791387787 1055183716 1318979645 1582775574 2637959290 2901755219 3165551148 3956938935 5275918580 5803510438 6067306367 6594898225 7913877870 8705265657 11607020876 12134612734 13189796450 14508776095 15827755740 17410531314 18201919101 19784694675 24269225468 26379592900 29017552190 30336531835 34821062628 36403838202 39569389350 43526328285 58035104380 60673063670 66740370037 72543880475 72807676404 79138778700 87052656570 91009595505 121346127340 133480740074 145087760950 151682659175 174105313140 182019191010 200221110111 217631641425 266961480148 290175521900 303365318350 333701850185 364038382020 400442220222 435263282850 455047977525 606730636700 667403700370 800884440444 870526565700 910095955050 1001105550555 1334807400740 1668509250925 1820191910100 2002211101110 3337018501850 4004422202220 5005527752775 6674037003700 10011055505550 20022111011100