Search a number
-
+
13200113320 = 2358910335999
BaseRepresentation
bin11000100101100100…
…11011111010101000
31021001221100020022221
430102302123322220
5204013212111240
610021500123424
7645053053252
oct142262337250
937057306287
1013200113320
115664135569
122684836574
131324998754
148d317acd2
15523ccea4a
hex312c9bea8

13200113320 has 64 divisors (see below), whose sum is σ = 30326400000. Its totient is φ = 5169888768.

The previous prime is 13200113281. The next prime is 13200113321. The reversal of 13200113320 is 2331100231.

13200113320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13200113294 and 13200113303.

It is not an unprimeable number, because it can be changed into a prime (13200113321) 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 15 ways as a sum of consecutive naturals, for example, 348681 + ... + 384679.

It is an arithmetic number, because the mean of its divisors is an integer number (473850000).

Almost surely, 213200113320 is an apocalyptic number.

13200113320 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 13200113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163200000).

13200113320 is an abundant number, since it is smaller than the sum of its proper divisors (17126286680).

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

13200113320 is a wasteful number, since it uses less digits than its factorization.

13200113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36202 (or 36198 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13200113320 its reverse (2331100231), we get a palindrome (15531213551).

The spelling of 13200113320 in words is "thirteen billion, two hundred million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 103 178 206 356 412 445 515 712 824 890 1030 1780 2060 3560 4120 9167 18334 35999 36668 45835 71998 73336 91670 143996 179995 183340 287992 359990 366680 719980 1439960 3203911 3707897 6407822 7415794 12815644 14831588 16019555 18539485 25631288 29663176 32039110 37078970 64078220 74157940 128156440 148315880 330002833 660005666 1320011332 1650014165 2640022664 3300028330 6600056660 13200113320