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14200100300 = 22521927726981
BaseRepresentation
bin11010011100110010…
…00101010111001100
31100122121222211120202
431032121011113030
5213040211202200
610305021233032
71011614601221
oct151631052714
940577884522
1014200100300
11602764a591
122903702778
131453bcca19
14989cc3948
155819ac1d5
hex34e6455cc

14200100300 has 72 divisors (see below), whose sum is σ = 32554322640. Its totient is φ = 5361465600.

The previous prime is 14200100287. The next prime is 14200100311. The reversal of 14200100300 is 300100241.

It is a happy number.

14200100300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 512810 + ... + 539790.

It is an arithmetic number, because the mean of its divisors is an integer number (452143370).

Almost surely, 214200100300 is an apocalyptic number.

14200100300 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 14200100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277161320).

14200100300 is an abundant number, since it is smaller than the sum of its proper divisors (18354222340).

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

14200100300 is a wasteful number, since it uses less digits than its factorization.

14200100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27291 (or 27284 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 14200100300 its reverse (300100241), we get a palindrome (14500200541).

The spelling of 14200100300 in words is "fourteen billion, two hundred million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 277 380 475 554 950 1108 1385 1900 2770 5263 5540 6925 10526 13850 21052 26315 26981 27700 52630 53962 105260 107924 131575 134905 263150 269810 512639 526300 539620 674525 1025278 1349050 2050556 2563195 2698100 5126390 7473737 10252780 12815975 14947474 25631950 29894948 37368685 51263900 74737370 142001003 149474740 186843425 284002006 373686850 568004012 710005015 747373700 1420010030 2840020060 3550025075 7100050150 14200100300