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201121110110220 = 22357391515017819
BaseRepresentation
bin101101101110101100101000…
…010100110011000000001100
3222101002222201222002112111020
4231232230220110303000030
5202330132013142011340
61551425432405554140
760235343412111066
oct5556545024630014
9871088658075436
10201121110110220
11590a0a90493623
121a682750a15950
13882b840722521
1437944569c4736
15183b94ce8c9d0
hexb6eb2853300c

201121110110220 has 96 divisors (see below), whose sum is σ = 570915837972480. Its totient is φ = 52891815974400.

The previous prime is 201121110110209. The next prime is 201121110110237. The reversal of 201121110110220 is 22011011121102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201121110110220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37572471 + ... + 42590289.

It is an arithmetic number, because the mean of its divisors is an integer number (5947039978880).

Almost surely, 2201121110110220 is an apocalyptic number.

201121110110220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201121110110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285457918986240).

201121110110220 is an abundant number, since it is smaller than the sum of its proper divisors (369794727862260).

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

201121110110220 is a wasteful number, since it uses less digits than its factorization.

201121110110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027055 (or 5027053 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201121110110220 its reverse (22011011121102), we get a palindrome (223132121231322).

The spelling of 201121110110220 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred ten million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 9151 18302 27453 36604 45755 54906 91510 109812 137265 183020 274530 549060 668023 1336046 2004069 2672092 3340115 4008138 5017819 6680230 8016276 10020345 10035638 13360460 15053457 20040690 20071276 25089095 30106914 40081380 50178190 60213828 75267285 100356380 150534570 301069140 366300787 732601574 1098902361 1465203148 1831503935 2197804722 3663007870 4395609444 5494511805 7326015740 10989023610 21978047220 45918061669 91836123338 137754185007 183672246676 229590308345 275508370014 459180616690 551016740028 688770925035 918361233380 1377541850070 2755083700140 3352018501837 6704037003674 10056055505511 13408074007348 16760092509185 20112111011022 33520185018370 40224222022044 50280277527555 67040370036740 100560555055110 201121110110220