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330142133402200 = 23527381943617411
BaseRepresentation
bin100101100010000110011010…
…0100101100011101001011000
31121021221021112220201021201201
41023010030310211203221120
5321233022042122332300
63130053111411323544
7126352660555151140
oct11304146445435130
91537837486637651
10330142133402200
1196214546577329
123103b9105b05b4
131122a3673ba602
145b74d708b3920
152827b4b7bd66a
hex12c4334963a58

330142133402200 has 96 divisors (see below), whose sum is σ = 877238529212160. Its totient is φ = 113191108905600.

The previous prime is 330142133402173. The next prime is 330142133402329. The reversal of 330142133402200 is 2204331241033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534411495 + ... + 535028905.

It is an arithmetic number, because the mean of its divisors is an integer number (9137901345960).

Almost surely, 2330142133402200 is an apocalyptic number.

It is an amenable number.

330142133402200 is an abundant number, since it is smaller than the sum of its proper divisors (547096395809960).

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

330142133402200 is a wasteful number, since it uses less digits than its factorization.

330142133402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999377 (or 999368 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 330142133402200 its reverse (2204331241033), we get a palindrome (332346464643233).

The spelling of 330142133402200 in words is "three hundred thirty trillion, one hundred forty-two billion, one hundred thirty-three million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 381943 617411 763886 1234822 1527772 1909715 2469644 2673601 3055544 3087055 3819430 4321877 4939288 5347202 6174110 7638860 8643754 9548575 10694404 12348220 13368005 15277720 15435275 17287508 19097150 21388808 21609385 24696440 26736010 30870550 34575016 38194300 43218770 53472020 61741100 66840025 76388600 86437540 106944040 108046925 123482200 133680050 172875080 216093850 267360100 432187700 534720200 864375400 235815809573 471631619146 943263238292 1179079047865 1650710667011 1886526476584 2358158095730 3301421334022 4716316191460 5895395239325 6602842668044 8253553335055 9432632382920 11790790478650 13205685336088 16507106670110 23581580957300 33014213340220 41267766675275 47163161914600 66028426680440 82535533350550 165071066701100 330142133402200