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110212221021000 = 2335375248201001
BaseRepresentation
bin11001000011110011001000…
…010010001010101101001000
3112110020012000011211122202220
4121003303020102022231020
5103421204112040133000
61030222443444454040
732133366402445440
oct3103631022125510
9473205004748686
10110212221021000
11321318165a334a
121043ba499aa320
134965c7748c4b7
141d3042b135120
15cb1d15a151a0
hex643cc848ab48

110212221021000 has 128 divisors (see below), whose sum is σ = 392985291029760. Its totient is φ = 25191364800000.

The previous prime is 110212221020981. The next prime is 110212221021031. The reversal of 110212221021000 is 120122212011.

110212221021000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 2624079501 + ... + 2624121500.

It is an arithmetic number, because the mean of its divisors is an integer number (3070197586170).

Almost surely, 2110212221021000 is an apocalyptic number.

110212221021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110212221021000 is an abundant number, since it is smaller than the sum of its proper divisors (282773070008760).

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

110212221021000 is a wasteful number, since it uses less digits than its factorization.

110212221021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248201032 (or 5248201018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110212221021000 its reverse (120122212011), we get a palindrome (110332343233011).

The spelling of 110212221021000 in words is "one hundred ten trillion, two hundred twelve billion, two hundred twenty-one million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 5248201001 10496402002 15744603003 20992804004 26241005005 31489206006 36737407007 41985608008 52482010010 62978412012 73474814014 78723015015 104964020020 110212221021 125956824024 131205025025 146949628028 157446030030 183687035035 209928040040 220424442042 262410050050 293899256056 314892060060 367374070070 393615075075 440848884084 524820100100 551061105105 629784120120 656025125125 734748140140 787230150150 881697768168 918435175175 1049640200200 1102122210210 1312050250250 1469496280280 1574460300300 1836870350350 1968075375375 2204244420420 2624100500500 2755305525525 3148920600600 3673740700700 3936150750750 4408488840840 4592175875875 5248201001000 5510611051050 7347481401400 7872301501500 9184351751750 11021222102100 13776527627625 15744603003000 18368703503500 22042444204200 27553055255250 36737407007000 55106110510500 110212221021000