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11331323101200 = 2435213768925323
BaseRepresentation
bin1010010011100100011101…
…1111010000000000010000
31111010021010101112010001210
42210321013133100000100
52441123022203214300
640033312111300120
72246442515111514
oct244710737200020
944107111463053
1011331323101200
113679650535803
12133010521a640
1364270178086b
142b2620738144
15149b48be7050
hexa4e477d0010

11331323101200 has 120 divisors (see below), whose sum is σ = 36562954472928. Its totient is φ = 2999630013440.

The previous prime is 11331323101183. The next prime is 11331323101289. The reversal of 11331323101200 is 210132313311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34298262 + ... + 34627061.

Almost surely, 211331323101200 is an apocalyptic number.

11331323101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331323101200 is an abundant number, since it is smaller than the sum of its proper divisors (25231631371728).

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

11331323101200 is a wasteful number, since it uses less digits than its factorization.

11331323101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68925481 (or 68925470 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11331323101200 its reverse (210132313311), we get a palindrome (11541455414511).

The spelling of 11331323101200 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 137 150 200 240 274 300 400 411 548 600 685 822 1096 1200 1370 1644 2055 2192 2740 3288 3425 4110 5480 6576 6850 8220 10275 10960 13700 16440 20550 27400 32880 41100 54800 82200 164400 68925323 137850646 206775969 275701292 344626615 413551938 551402584 689253230 827103876 1033879845 1102805168 1378506460 1654207752 1723133075 2067759690 2757012920 3308415504 3446266150 4135519380 5169399225 5514025840 6892532300 8271038760 9442769251 10338798450 13785064600 16542077520 18885538502 20677596900 27570129200 28328307753 37771077004 41355193800 47213846255 56656615506 75542154008 82710387600 94427692510 113313231012 141641538765 151084308016 188855385020 226626462024 236069231275 283283077530 377710770040 453252924048 472138462550 566566155060 708207693825 755421540080 944276925100 1133132310120 1416415387650 1888553850200 2266264620240 2832830775300 3777107700400 5665661550600 11331323101200