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22300320441030 = 23523479259326021
BaseRepresentation
bin1010001001000001100101…
…01011011010001011000110
32220221220000200012110211020
411010200302223122023012
510410332024013103110
6115232343100252010
74461100505115612
oct504406253321306
986856020173736
1022300320441030
117118570580215
122601b50241006
13c59bacb80888
145714ac624342
1528a13871cd70
hex144832ada2c6

22300320441030 has 128 divisors (see below), whose sum is σ = 55988085841920. Its totient is φ = 5673915371520.

The previous prime is 22300320441029. The next prime is 22300320441043. The reversal of 22300320441030 is 3014402300322.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 856999420 + ... + 857025440.

It is an arithmetic number, because the mean of its divisors is an integer number (437406920640).

Almost surely, 222300320441030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22300320441030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27994042920960).

22300320441030 is an abundant number, since it is smaller than the sum of its proper divisors (33687765400890).

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

22300320441030 is a wasteful number, since it uses less digits than its factorization.

22300320441030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29126.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22300320441030 its reverse (3014402300322), we get a palindrome (25314722741352).

The spelling of 22300320441030 in words is "twenty-two trillion, three hundred billion, three hundred twenty million, four hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 479 690 958 1437 2395 2593 2874 4790 5186 7185 7779 11017 12965 14370 15558 22034 25930 26021 33051 38895 52042 55085 59639 66102 77790 78063 110170 119278 130105 156126 165255 178917 260210 298195 330510 357834 390315 596390 598483 780630 894585 1196966 1242047 1789170 1795449 2484094 2992415 3590898 3726141 5984830 6210235 7452282 8977245 12420470 12464059 17954490 18630705 24928118 28567081 37261410 37392177 57134162 62320295 67472453 74784354 85701243 124640590 134944906 142835405 171402486 186960885 202417359 285670810 286673357 337362265 373921770 404834718 428506215 573346714 674724530 857012430 860020071 1012086795 1433366785 1551866419 1720040142 2024173590 2866733570 3103732838 4300100355 4655599257 7759332095 8600200710 9311198514 15518664190 23277996285 32319304987 46555992570 64638609974 96957914961 161596524935 193915829922 323193049870 484789574805 743344014701 969579149610 1486688029402 2230032044103 3716720073505 4460064088206 7433440147010 11150160220515 22300320441030