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11331131112300 = 22352195933693521
BaseRepresentation
bin1010010011100011110000…
…0010110111101101101100
31111010020122000021001210210
42210320330002313231230
52441122124031043200
640033241052302420
72246434664201226
oct244707402675554
944106560231723
1011331131112300
11367956212469a
121330070a71a10
136426a0a6ca6c
142b260303d416
15149b36e21650
hexa4e3c0b7b6c

11331131112300 has 144 divisors (see below), whose sum is σ = 35095172515200. Its totient is φ = 2814082790400.

The previous prime is 11331131112299. The next prime is 11331131112313. The reversal of 11331131112300 is 321113113311.

It is a super-2 number, since 2×113311311123002 (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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16510461 + ... + 17183060.

It is an arithmetic number, because the mean of its divisors is an integer number (243716475800).

Almost surely, 211331131112300 is an apocalyptic number.

11331131112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331131112300 is an abundant number, since it is smaller than the sum of its proper divisors (23764041402900).

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

11331131112300 is a wasteful number, since it uses less digits than its factorization.

11331131112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33693616 (or 33693609 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 11331131112300 its reverse (321113113311), we get a palindrome (11652244225611).

The spelling of 11331131112300 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 59 60 75 76 95 100 114 118 150 177 190 228 236 285 295 300 354 380 475 570 590 708 885 950 1121 1140 1180 1425 1475 1770 1900 2242 2850 2950 3363 3540 4425 4484 5605 5700 5900 6726 8850 11210 13452 16815 17700 22420 28025 33630 56050 67260 84075 112100 168150 336300 33693521 67387042 101080563 134774084 168467605 202161126 336935210 404322252 505402815 640176899 673870420 842338025 1010805630 1280353798 1684676050 1920530697 1987917739 2021611260 2527014075 2560707596 3200884495 3369352100 3841061394 3975835478 5054028150 5963753217 6401768990 7682122788 7951670956 9602653485 9939588695 10108056300 11927506434 12803537980 16004422475 19205306970 19879177390 23855012868 29818766085 32008844950 37770437041 38410613940 39758354780 48013267425 49697943475 59637532170 64017689900 75540874082 96026534850 99395886950 113311311123 119275064340 149093830425 151081748164 188852185205 192053069700 198791773900 226622622246 298187660850 377704370410 453245244492 566556555615 596375321700 755408740820 944260926025 1133113111230 1888521852050 2266226222460 2832782778075 3777043704100 5665565556150 11331131112300