Search a number
-
+
220122021012000 = 2535318343501751
BaseRepresentation
bin110010000011001100100110…
…110111101010001000100000
31001212101110102010011012222220
4302003030212313222020200
5212322434344334341000
62100054354353231040
764236201611666202
oct6203144667521040
91055343363135886
10220122021012000
1164157252323758
1220831157562480
1395a9557380263
143c4dd69792772
151a6ad2b53e1a0
hexc83326dea220

220122021012000 has 96 divisors (see below), whose sum is σ = 721119740874624. Its totient is φ = 58699205600000.

The previous prime is 220122021011881. The next prime is 220122021012017. The reversal of 220122021012000 is 210120221022.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9171738876 + ... + 9171762875.

It is an arithmetic number, because the mean of its divisors is an integer number (7511663967444).

Almost surely, 2220122021012000 is an apocalyptic number.

220122021012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122021012000 is an abundant number, since it is smaller than the sum of its proper divisors (500997719862624).

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

220122021012000 is a wasteful number, since it uses less digits than its factorization.

220122021012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18343501779 (or 18343501761 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220122021012000 its reverse (210120221022), we get a palindrome (220332141233022).

The spelling of 220122021012000 in words is "two hundred twenty trillion, one hundred twenty-two billion, twenty-one million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 18343501751 36687003502 55030505253 73374007004 91717508755 110061010506 146748014008 183435017510 220122021012 275152526265 293496028016 366870035020 440244042024 458587543775 550305052530 586992056032 733740070040 880488084048 917175087550 1100610105060 1375762631325 1467480140080 1760976168096 1834350175100 2201220210120 2292937718875 2751525262650 2934960280160 3668700350200 4402440420240 4585875437750 5503050525300 6878813156625 7337400700400 8804880840480 9171750875500 11006101050600 13757626313250 14674801400800 18343501751000 22012202101200 27515252626500 36687003502000 44024404202400 55030505253000 73374007004000 110061010506000 220122021012000