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10524122322340 = 22511219474869889
BaseRepresentation
bin1001100100100101011010…
…0100101001010110100100
31101021002121011211220110211
42121021112210221112210
52334411400303303330
634214414241225204
72134225363520224
oct231112644512644
941232534756424
1010524122322340
113398289762300
12121b78b332204
135b4560a305c3
14285527d10084
15133b5367ad2a
hex992569295a4

10524122322340 has 144 divisors (see below), whose sum is σ = 26115077318400. Its totient is φ = 3548395192320.

The previous prime is 10524122322323. The next prime is 10524122322377. The reversal of 10524122322340 is 4322322142501.

It is a happy number.

It is a super-2 number, since 2×105241223223402 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 273885 + ... + 4596004.

It is an arithmetic number, because the mean of its divisors is an integer number (181354703600).

Almost surely, 210524122322340 is an apocalyptic number.

10524122322340 is a gapful number since it is divisible by the number (10) 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 10524122322340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057538659200).

10524122322340 is an abundant number, since it is smaller than the sum of its proper divisors (15590954996060).

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

10524122322340 is a wasteful number, since it uses less digits than its factorization.

10524122322340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869986 (or 4869973 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 10524122322340 its reverse (4322322142501), we get a palindrome (14846444464841).

The spelling of 10524122322340 in words is "ten trillion, five hundred twenty-four billion, one hundred twenty-two million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 47 55 76 94 95 110 121 188 190 209 220 235 242 380 418 470 484 517 605 836 893 940 1034 1045 1210 1786 2068 2090 2299 2420 2585 3572 4180 4465 4598 5170 5687 8930 9196 9823 10340 11374 11495 17860 19646 22748 22990 28435 39292 45980 49115 56870 98230 108053 113740 196460 216106 432212 540265 1080530 2161060 4869889 9739778 19479556 24349445 48698890 53568779 92527891 97397780 107137558 185055782 214275116 228884783 267843895 370111564 457769566 462639455 535687790 589256569 915539132 925278910 1017806801 1071375580 1144423915 1178513138 1850557820 2035613602 2288847830 2357026276 2517732613 2946282845 4071227204 4348810877 4577695660 5035465226 5089034005 5892565690 8697621754 10070930452 10178068010 11195874811 11785131380 12588663065 17395243508 20356136020 21744054385 22391749622 25177326130 27695058743 43488108770 44783499244 47836919647 50354652260 55390117486 55979374055 86976217540 95673839294 110780234972 111958748110 138475293715 191347678588 223917496220 239184598235 276950587430 478369196470 526206116117 553901174860 956738392940 1052412232234 2104824464468 2631030580585 5262061161170 10524122322340