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11100221102100 = 22352132998145191
BaseRepresentation
bin1010000110000111100010…
…1111000101100000010100
31110022011121111100011121210
42201201320233011200110
52423331223100231400
635335212101341420
72223651553405344
oct241417057054024
943264544304553
1011100221102100
11359a639480319
1212b3369707870
13626991998a30
142a5379b0cd24
15143b2001a950
hexa1878bc5814

11100221102100 has 144 divisors (see below), whose sum is σ = 35779811195520. Its totient is φ = 2638142707200.

The previous prime is 11100221102027. The next prime is 11100221102137. The reversal of 11100221102100 is 120112200111.

It is a super-2 number, since 2×111002211021002 (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48959496 + ... + 49185695.

It is an arithmetic number, because the mean of its divisors is an integer number (248470911080).

Almost surely, 211100221102100 is an apocalyptic number.

11100221102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100221102100 is an abundant number, since it is smaller than the sum of its proper divisors (24679590093420).

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

11100221102100 is a wasteful number, since it uses less digits than its factorization.

11100221102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98145250 (or 98145243 counting only the distinct ones).

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

Adding to 11100221102100 its reverse (120112200111), we get a palindrome (11220333302211).

It can be divided in two parts, 1110022 and 1102100, that added together give a palindrome (2212122).

The spelling of 11100221102100 in words is "eleven trillion, one hundred billion, two hundred twenty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 130 145 150 156 174 195 260 290 300 325 348 377 390 435 580 650 725 754 780 870 975 1131 1300 1450 1508 1740 1885 1950 2175 2262 2900 3770 3900 4350 4524 5655 7540 8700 9425 11310 18850 22620 28275 37700 56550 113100 98145191 196290382 294435573 392580764 490725955 588871146 981451910 1177742292 1275887483 1472177865 1962903820 2453629775 2551774966 2846210539 2944355730 3827662449 4907259550 5103549932 5692421078 5888711460 6379437415 7360889325 7655324898 8538631617 9814519100 11384842156 12758874830 14231052695 14721778650 15310649796 17077263234 19138312245 25517749660 28462105390 29443557300 31897187075 34154526468 37000737007 38276624490 42693158085 56924210780 63794374150 71155263475 74001474014 76553248980 85386316170 95691561225 111002211021 127588748300 142310526950 148002948028 170772632340 185003685035 191383122450 213465790425 222004422042 284621053900 370007370070 382766244900 426931580850 444008844084 555011055105 740014740140 853863161700 925018425175 1110022110210 1850036850350 2220044220420 2775055275525 3700073700700 5550110551050 11100221102100