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21222120201100 = 22527213333157303
BaseRepresentation
bin1001101001101001010001…
…11011111001101110001100
32210010211000001020021000121
410310310220323321232030
510240200400232413400
6113045150223234324
74320150631233100
oct464645073715614
983124001207017
1021222120201100
116842283659665
122468ba51489a4
13bac3115b8020
14535228495900
1526c0819e521a
hex134d28ef9b8c

21222120201100 has 108 divisors (see below), whose sum is σ = 57691517704464. Its totient is φ = 6716451208320.

The previous prime is 21222120201097. The next prime is 21222120201109. The reversal of 21222120201100 is 110202122212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21222120201109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166514952 + ... + 166642351.

Almost surely, 221222120201100 is an apocalyptic number.

21222120201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222120201100 is an abundant number, since it is smaller than the sum of its proper divisors (36469397503364).

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

21222120201100 is a wasteful number, since it uses less digits than its factorization.

21222120201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333157344 (or 333157330 counting only the distinct ones).

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

Adding to 21222120201100 its reverse (110202122212), we get a palindrome (21332322323312).

The spelling of 21222120201100 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15925 31850 63700 333157303 666314606 1332629212 1665786515 2332101121 3331573030 4331044939 4664202242 6663146060 8328932575 8662089878 9328404484 11660505605 16324707847 16657865150 17324179756 21655224695 23321011210 30317314573 32649415694 33315730300 43310449390 46642022420 58302528025 60634629146 65298831388 81623539235 86620898780 108276123475 116605056050 121269258292 151586572865 163247078470 212221202011 216552246950 233210112100 303173145730 326494156940 408117696175 424442404022 433104493900 606346291460 757932864325 816235392350 848884808044 1061106010055 1515865728650 1632470784700 2122212020110 3031731457300 4244424040220 5305530050275 10611060100550 21222120201100