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2221021300300 = 22521121144321601
BaseRepresentation
bin100000010100011111001…
…011111000011001001100
321212022211210102020100021
4200110133023320121030
5242342122423102200
64420153442311524
7316314656362615
oct40243713703114
97768753366307
102221021300300
11786a25693040
122ba5476585a4
13131597a1557a
14796d874ac0c
153cb91baa41a
hex2051f2f864c

2221021300300 has 144 divisors (see below), whose sum is σ = 5294851357824. Its totient is φ = 801964800000.

The previous prime is 2221021300273. The next prime is 2221021300331. The reversal of 2221021300300 is 30031201222.

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 47 ways as a sum of consecutive naturals, for example, 102809500 + ... + 102831100.

It is an arithmetic number, because the mean of its divisors is an integer number (36769801096).

Almost surely, 22221021300300 is an apocalyptic number.

2221021300300 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 2221021300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647425678912).

2221021300300 is an abundant number, since it is smaller than the sum of its proper divisors (3073830057524).

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

2221021300300 is a wasteful number, since it uses less digits than its factorization.

2221021300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22280 (or 22273 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2221021300300 its reverse (30031201222), we get a palindrome (2251052501522).

The spelling of 2221021300300 in words is "two trillion, two hundred twenty-one billion, twenty-one million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 211 220 275 422 443 550 844 886 1055 1100 1772 2110 2215 2321 4220 4430 4642 4873 5275 8860 9284 9746 10550 11075 11605 19492 21100 21601 22150 23210 24365 43202 44300 46420 48730 58025 86404 93473 97460 108005 116050 121825 186946 216010 232100 237611 243650 373892 432020 467365 475222 487300 540025 934730 950444 1028203 1080050 1188055 1869460 2056406 2160100 2336825 2376110 4112812 4557811 4673650 4752220 5141015 5940275 9115622 9347300 9569243 10282030 11880550 18231244 19138486 20564060 22789055 23761100 25705075 38276972 45578110 47846215 50135921 51410150 91156220 95692430 100271842 102820300 105261673 113945275 191384860 200543684 210523346 227890550 239231075 250679605 421046692 455781100 478462150 501359210 526308365 956924300 1002718420 1052616730 1253398025 2019110273 2105233460 2506796050 2631541825 4038220546 5013592100 5263083650 8076441092 10095551365 10526167300 20191102730 22210213003 40382205460 44420426006 50477756825 88840852012 100955513650 111051065015 201911027300 222102130030 444204260060 555255325075 1110510650150 2221021300300