Search a number
-
+
13200043000 = 235321536131
BaseRepresentation
bin11000100101100100…
…01010101111111000
31021001221012122212111
430102302022233320
5204013202334000
610021454422104
7645052341244
oct142262125770
937057178774
1013200043000
115664097751
122684801934
131324972741
148d315d424
15523cb8cba
hex312c8abf8

13200043000 has 64 divisors (see below), whose sum is σ = 30907487520. Its totient is φ = 5276704000.

The previous prime is 13200042943. The next prime is 13200043019. The reversal of 13200043000 is 34000231.

13200043000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132000430002 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2149935 + ... + 2156065.

Almost surely, 213200043000 is an apocalyptic number.

13200043000 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 13200043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15453743760).

13200043000 is an abundant number, since it is smaller than the sum of its proper divisors (17707444520).

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

13200043000 is a wasteful number, since it uses less digits than its factorization.

13200043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8305 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 13200043000 its reverse (34000231), we get a palindrome (13234043231).

The spelling of 13200043000 in words is "thirteen billion, two hundred million, forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2153 4306 6131 8612 10765 12262 17224 21530 24524 30655 43060 49048 53825 61310 86120 107650 122620 153275 215300 245240 269125 306550 430600 538250 613100 766375 1076500 1226200 1532750 2153000 3065500 6131000 13200043 26400086 52800172 66000215 105600344 132000430 264000860 330001075 528001720 660002150 1320004300 1650005375 2640008600 3300010750 6600021500 13200043000