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220101221012200 = 235211100046009551
BaseRepresentation
bin110010000010111001001111…
…000101111101001011101000
31001212022110201112021202022221
4302002321033011331023220
5212322114300034342300
62100041034405123424
764234534303626313
oct6202711705751350
91055273645252287
10220101221012200
1164149449263a80
12208291116b9574
1395a75c1022878
143c4cd5514197a
151a6a51044b31a
hexc82e4f17d2e8

220101221012200 has 48 divisors (see below), whose sum is σ = 558256733300160. Its totient is φ = 80036807640000.

The previous prime is 220101221012177. The next prime is 220101221012219. The reversal of 220101221012200 is 2210122101022.

It is a happy number.

220101221012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2201012210122002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50023002576 + ... + 50023006975.

It is an arithmetic number, because the mean of its divisors is an integer number (11630348610420).

Almost surely, 2220101221012200 is an apocalyptic number.

220101221012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101221012200 is an abundant number, since it is smaller than the sum of its proper divisors (338155512287960).

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

220101221012200 is a wasteful number, since it uses less digits than its factorization.

220101221012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100046009578 (or 100046009569 counting only the distinct ones).

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

Adding to 220101221012200 its reverse (2210122101022), we get a palindrome (222311343113222).

The spelling of 220101221012200 in words is "two hundred twenty trillion, one hundred one billion, two hundred twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 100046009551 200092019102 400184038204 500230047755 800368076408 1000460095510 1100506105061 2000920191020 2201012210122 2501150238775 4001840382040 4402024420244 5002300477550 5502530525305 8804048840488 10004600955100 11005061050610 20009201910200 22010122101220 27512652626525 44020244202440 55025305253050 110050610506100 220101221012200