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13201324000 = 25533300331
BaseRepresentation
bin11000100101101110…
…00011011111100000
31021002000121202001221
430102313003133200
5204014014332000
610021542104424
7645066255034
oct142267033740
937060552057
1013201324000
115664892127
12268511b114
131325000827
148d33b41c4
15523e6d61a
hex312dc37e0

13201324000 has 48 divisors (see below), whose sum is σ = 32435662896. Its totient is φ = 5280528000.

The previous prime is 13201323997. The next prime is 13201324021. The reversal of 13201324000 is 42310231.

It is a happy number.

13201324000 is digitally balanced in base 2, 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 (16).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1646166 + ... + 1654165.

It is an arithmetic number, because the mean of its divisors is an integer number (675742977).

Almost surely, 213201324000 is an apocalyptic number.

13201324000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201324000 is an abundant number, since it is smaller than the sum of its proper divisors (19234338896).

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

13201324000 is an equidigital number, since it uses as much as digits as its factorization.

13201324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300356 (or 3300338 counting only the distinct ones).

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

Adding to 13201324000 its reverse (42310231), we get a palindrome (13243634231).

The spelling of 13201324000 in words is "thirteen billion, two hundred one million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 3300331 6600662 13201324 16501655 26402648 33003310 52805296 66006620 82508275 105610592 132013240 165016550 264026480 330033100 412541375 528052960 660066200 825082750 1320132400 1650165500 2640264800 3300331000 6600662000 13201324000