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1220330220330 = 2351326913818423
BaseRepresentation
bin10001110000100001010…
…110010110101100101010
311022122212220121022100210
4101300201112112230222
5124443214014022310
62332340103441550
7154110630503304
oct21604126265452
94278786538323
101220330220330
114305a2660581
121786121562b6
138b0cc511790
14430c860c974
1521b24934820
hex11c21596b2a

1220330220330 has 128 divisors (see below), whose sum is σ = 3168478010880. Its totient is φ = 299020078080.

The previous prime is 1220330220323. The next prime is 1220330220377. The reversal of 1220330220330 is 330220330221.

It is a junction number, because it is equal to n+sod(n) for n = 1220330220297 and 1220330220306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144876499 + ... + 144884921.

It is an arithmetic number, because the mean of its divisors is an integer number (24753734460).

Almost surely, 21220330220330 is an apocalyptic number.

1220330220330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220330220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584239005440).

1220330220330 is an abundant number, since it is smaller than the sum of its proper divisors (1948147790550).

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

1220330220330 is a wasteful number, since it uses less digits than its factorization.

1220330220330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10096.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 1220330220330 its reverse (330220330221), we get a palindrome (1550550550551).

The spelling of 1220330220330 in words is "one trillion, two hundred twenty billion, three hundred thirty million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 269 390 538 807 1345 1381 1614 2690 2762 3497 4035 4143 6905 6994 8070 8286 8423 10491 13810 16846 17485 17953 20715 20982 25269 34970 35906 41430 42115 50538 52455 53859 84230 89765 104910 107718 109499 126345 179530 218998 252690 269295 328497 371489 538590 547495 656994 742978 1094990 1114467 1642485 1857445 2228934 2265787 3284970 3714890 4531574 4829357 5572335 6797361 9658714 11144670 11328935 11632163 13594722 14488071 22657870 23264326 24146785 28976142 29455231 33986805 34896489 48293570 58160815 58910462 67973610 69792978 72440355 88365693 116321630 144880710 147276155 151218119 174482445 176731386 294552310 302436238 348964890 441828465 453654357 756090595 883656930 907308714 1512181190 2268271785 3129051847 4536543570 6258103694 9387155541 15645259235 18774311082 31290518470 40677674011 46935777705 81355348022 93871555410 122033022033 203388370055 244066044066 406776740110 610165110165 1220330220330