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242310111131322 = 2321322715792889001
BaseRepresentation
bin110111000110000100111000…
…000110010111011010111010
31011202221121202021012122020100
4313012010320012113122322
5223230002101422200242
62215203421152340230
7102016220304120033
oct6706047006273272
91152847667178210
10242310111131322
11702311607a4083
12232153a5b44676
13a52898c947040
1443b9c2c901a8a
151d03096e5854c
hexdc61381976ba

242310111131322 has 96 divisors (see below), whose sum is σ = 568240807942080. Its totient is φ = 74181477024000.

The previous prime is 242310111131311. The next prime is 242310111131371. The reversal of 242310111131322 is 223131111013242.

242310111131322 is a `hidden beast` number, since 2 + 4 + 2 + 310 + 1 + 1 + 11 + 313 + 22 = 666.

242310111131322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82428822 + ... + 85317822.

It is an arithmetic number, because the mean of its divisors is an integer number (5919175082730).

Almost surely, 2242310111131322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242310111131322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284120403971040).

242310111131322 is an abundant number, since it is smaller than the sum of its proper divisors (325930696810758).

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

242310111131322 is a wasteful number, since it uses less digits than its factorization.

242310111131322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890828 (or 2890825 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 242310111131322 its reverse (223131111013242), we get a palindrome (465441222144564).

The spelling of 242310111131322 in words is "two hundred forty-two trillion, three hundred ten billion, one hundred eleven million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 227 234 454 681 1362 1579 2043 2951 3158 4086 4737 5902 8853 9474 14211 17706 20527 26559 28422 41054 53118 61581 123162 184743 358433 369486 716866 1075299 2150598 2889001 3225897 4659629 5778002 6451794 8667003 9319258 13978887 17334006 26001009 27957774 37557013 41936661 52002018 75114026 83873322 112671039 225342078 338013117 655803227 676026234 1311606454 1967409681 3934819362 4561732579 5902229043 8525441951 9123465158 11804458086 13685197737 17050883902 25576325853 27370395474 41055593211 51152651706 59302523527 76728977559 82111186422 118605047054 153457955118 177907570581 355815141162 533722711743 1035513295433 1067445423486 2071026590866 3106539886299 6213079772598 9319619658897 13461672840629 18639239317794 26923345681258 40385018521887 80770037043774 121155055565661 242310111131322