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220132221320 = 2351127711631553
BaseRepresentation
bin1100110100000011100…
…1110010000110001000
3210001012101121111022002
43031000321302012020
512101312322040240
6245043301250132
721622040002544
oct3150071620610
9701171544262
10220132221320
11853a299a040
12367b5a03948
13179b220c67b
14a923b84a24
155ad5b0bd15
hex3340e72188

220132221320 has 128 divisors (see below), whose sum is σ = 543090925440. Its totient is φ = 79639203840.

The previous prime is 220132221259. The next prime is 220132221373. The reversal of 220132221320 is 23122231022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220132221292 and 220132221301.

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, 141745664 + ... + 141747216.

It is an arithmetic number, because the mean of its divisors is an integer number (4242897855).

Almost surely, 2220132221320 is an apocalyptic number.

220132221320 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 220132221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271545462720).

220132221320 is an abundant number, since it is smaller than the sum of its proper divisors (322958704120).

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

220132221320 is a wasteful number, since it uses less digits than its factorization.

220132221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 220132221320 its reverse (23122231022), we get a palindrome (243254452342).

The spelling of 220132221320 in words is "two hundred twenty billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 277 440 554 1108 1163 1385 1553 2216 2326 2770 3047 3106 4652 5540 5815 6094 6212 7765 9304 11080 11630 12188 12424 12793 15235 15530 17083 23260 24376 25586 30470 31060 34166 46520 51172 60940 62120 63965 68332 85415 102344 121880 127930 136664 170830 255860 322151 341660 430181 511720 644302 683320 860362 1288604 1610755 1720724 1806139 2150905 2577208 3221510 3441448 3543661 3612278 4301810 4731991 6443020 7087322 7224556 8603620 9030695 9463982 12886040 14174644 14449112 17207240 17718305 18061390 18927964 19867529 23659955 28349288 35436610 36122780 37855928 39735058 47319910 70873220 72245560 79470116 94639820 99337645 141746440 158940232 189279640 198675290 397350580 500300503 794701160 1000601006 2001202012 2501502515 4002404024 5003005030 5503305533 10006010060 11006611066 20012020120 22013222132 27516527665 44026444264 55033055330 110066110660 220132221320