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12112210201100 = 22523111173349697
BaseRepresentation
bin1011000001000001011111…
…1111001000101000001100
31120212220201202100221002112
42300100113333020220030
53041421301302413400
641432134512043152
72360035600666652
oct260202777105014
946786652327075
1012112210201100
11394a839991799
1214375168334b8
1369b23aa80399
142dc33c536dd2
151600ee09c835
hexb0417fc8a0c

12112210201100 has 72 divisors (see below), whose sum is σ = 27133856738688. Its totient is φ = 4688164454400.

The previous prime is 12112210201097. The next prime is 12112210201127. The reversal of 12112210201100 is 110201221121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34461452 + ... + 34811148.

Almost surely, 212112210201100 is an apocalyptic number.

12112210201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112210201100 is an abundant number, since it is smaller than the sum of its proper divisors (15021646537588).

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

12112210201100 is a wasteful number, since it uses less digits than its factorization.

12112210201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360915 (or 360908 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12112210201100 its reverse (110201221121), we get a palindrome (12222411422221).

It can be divided in two parts, 121 and 12210201100, that added together give a palindrome (12210201221).

The spelling of 12112210201100 in words is "twelve trillion, one hundred twelve billion, two hundred ten million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 11173 22346 44692 55865 111730 223460 279325 346363 349697 558650 692726 699394 1117300 1385452 1398788 1731815 1748485 3463630 3496970 6927260 6993940 8659075 8742425 10840607 17318150 17484850 21681214 34636300 34969700 43362428 54203035 108406070 216812140 271015175 542030350 1084060700 3907164581 7814329162 15628658324 19535822905 39071645810 78143291620 97679114525 121122102011 195358229050 242244204022 390716458100 484488408044 605610510055 1211221020110 2422442040220 3028052550275 6056105100550 12112210201100