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242321211330 = 235116198591381
BaseRepresentation
bin1110000110101101111…
…0000011111111000010
3212011110210002222022220
43201223132003333002
512432233212230310
6303153144311510
723335642211532
oct3415336037702
9764423088286
10242321211330
119384a008710
123ab68a72596
1319b0a262463
14ba2aa7d4c2
156483b1c670
hex386b783fc2

242321211330 has 128 divisors (see below), whose sum is σ = 636666393600. Its totient is φ = 58538937600.

The previous prime is 242321211281. The next prime is 242321211371. The reversal of 242321211330 is 33112123242.

It is a self number, because there is not a number n which added to its sum of digits gives 242321211330.

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, 175467240 + ... + 175468620.

It is an arithmetic number, because the mean of its divisors is an integer number (4973956200).

Almost surely, 2242321211330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242321211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318333196800).

242321211330 is an abundant number, since it is smaller than the sum of its proper divisors (394345182270).

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

242321211330 is a wasteful number, since it uses less digits than its factorization.

242321211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 242321211330 its reverse (33112123242), we get a palindrome (275433334572).

The spelling of 242321211330 in words is "two hundred forty-two billion, three hundred twenty-one million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 619 859 1238 1381 1718 1857 2577 2762 3095 3714 4143 4295 5154 6190 6809 6905 8286 8590 9285 9449 12885 13618 13810 15191 18570 18898 20427 20715 25770 28347 30382 34045 40854 41430 45573 47245 56694 68090 75955 91146 94490 102135 141735 151910 204270 227865 283470 455730 531721 854839 1063442 1186279 1595163 1709678 2372558 2564517 2658605 3190326 3558837 4274195 5129034 5317210 5848931 5931395 7117674 7975815 8548390 9403229 11697862 11862790 12822585 13049069 15951630 17546793 17794185 18806458 25645170 26098138 28209687 29244655 35093586 35588370 39147207 47016145 56419374 58489310 65245345 78294414 87733965 94032290 130490690 141048435 175467930 195736035 282096870 391472070 734306701 1468613402 2202920103 3671533505 4405840206 7343067010 8077373711 11014600515 16154747422 22029201030 24232121133 40386868555 48464242266 80773737110 121160605665 242321211330