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13110232320 = 28345314079
BaseRepresentation
bin11000011010110111…
…00100010100000000
31020211200012210210000
430031123210110000
5203322204413240
610004525440000
7642612064443
oct141533442400
936750183700
1013110232320
115618425649
12265a710000
13130c188a23
148c526165a
1551ae78430
hex30d6e4500

13110232320 has 360 divisors, whose sum is σ = 48435932160. Its totient is φ = 3382456320.

The previous prime is 13110232273. The next prime is 13110232321. The reversal of 13110232320 is 2323201131.

13110232320 is a `hidden beast` number, since 1 + 3 + 110 + 232 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13110232293 and 13110232302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110232321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3212041 + ... + 3216119.

It is an arithmetic number, because the mean of its divisors is an integer number (134544256).

Almost surely, 213110232320 is an apocalyptic number.

13110232320 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 13110232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217966080).

13110232320 is an abundant number, since it is smaller than the sum of its proper divisors (35325699840).

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

13110232320 is an equidigital number, since it uses as much as digits as its factorization.

13110232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13110232320 its reverse (2323201131), we get a palindrome (15433433451).

The spelling of 13110232320 in words is "thirteen billion, one hundred ten million, two hundred thirty-two thousand, three hundred twenty".