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220201221120100 = 2252114310146093237
BaseRepresentation
bin110010000100010110010111…
…100100000110000001100100
31001212200000211201010120120221
4302010112113210012001210
5212330234100101320400
62100155013334334124
764245004351544353
oct6204262744060144
91055600751116527
10220201221120100
11641878a4763150
122084457b4ba344
1395b3b6986c44c
143c53b201cd99a
151a6ce146a7c1a
hexc84597906064

220201221120100 has 144 divisors (see below), whose sum is σ = 538680241382976. Its totient is φ = 77436636480000.

The previous prime is 220201221120029. The next prime is 220201221120187. The reversal of 220201221120100 is 1021122102022.

It is a happy 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, 18269319 + ... + 27823918.

It is an arithmetic number, because the mean of its divisors is an integer number (3740835009604).

Almost surely, 2220201221120100 is an apocalyptic number.

220201221120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201221120100 is an abundant number, since it is smaller than the sum of its proper divisors (318479020262876).

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

220201221120100 is a wasteful number, since it uses less digits than its factorization.

220201221120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46093406 (or 46093399 counting only the distinct ones).

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

Adding to 220201221120100 its reverse (1021122102022), we get a palindrome (221222343222122).

The spelling of 220201221120100 in words is "two hundred twenty trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 101 110 172 202 215 220 275 404 430 473 505 550 860 946 1010 1075 1100 1111 1892 2020 2150 2222 2365 2525 4300 4343 4444 4730 5050 5555 8686 9460 10100 11110 11825 17372 21715 22220 23650 27775 43430 47300 47773 55550 86860 95546 108575 111100 191092 217150 238865 434300 477730 955460 1194325 2388650 4777300 46093237 92186474 184372948 230466185 460932370 507025607 921864740 1014051214 1152330925 1982009191 2028102428 2304661850 2535128035 3964018382 4609323700 4655416937 5070256070 7928036764 9310833874 9910045955 10140512140 12675640175 18621667748 19820091910 21802101101 23277084685 25351280350 39640183820 43604202202 46554169370 49550229775 50702560700 51209586307 87208404404 93108338740 99100459550 102419172614 109010505505 116385423425 198200919100 200182928291 204838345228 218021011010 232770846850 256047931535 400365856582 436042022020 465541693700 512095863070 545052527525 800731713164 1000914641455 1024191726140 1090105055050 1280239657675 2001829282910 2180210110100 2202012211201 2560479315350 4003658565820 4404024422402 5004573207275 5120958630700 8808048844804 10009146414550 11010061056005 20018292829100 22020122112010 44040244224020 55050305280025 110100610560050 220201221120100