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14300132200 = 235271500661
BaseRepresentation
bin11010101000101101…
…01011001101101000
31100220121012222112221
431110112223031220
5213241313212300
610322553243424
71014241055344
oct152426531550
940817188487
1014300132200
116079062a82
122931103574
13146b854bb3
149992c2624
1558a66b31a
hex3545ab368

14300132200 has 24 divisors (see below), whose sum is σ = 33247807830. Its totient is φ = 5720052800.

The previous prime is 14300132177. The next prime is 14300132201. The reversal of 14300132200 is 223100341.

It is a happy number.

14300132200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10661388516 + 3638743684 = 103254^2 + 60322^2 .

It is not an unprimeable number, because it can be changed into a prime (14300132201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 35750131 + ... + 35750530.

Almost surely, 214300132200 is an apocalyptic number.

14300132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14300132200 is an abundant number, since it is smaller than the sum of its proper divisors (18947675630).

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

14300132200 is a wasteful number, since it uses less digits than its factorization.

14300132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71500677 (or 71500668 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14300132200 its reverse (223100341), we get a palindrome (14523232541).

The spelling of 14300132200 in words is "fourteen billion, three hundred million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 71500661 143001322 286002644 357503305 572005288 715006610 1430013220 1787516525 2860026440 3575033050 7150066100 14300132200