Search a number
-
+
13111113344 = 27773919801
BaseRepresentation
bin11000011010111101…
…11011011010000000
31020211201212120022112
430031132323122000
5203322421111334
610005000354452
7642622424150
oct141536733200
936751776275
1013111113344
11561897756a
12265aa75a28
13130c406a44
148c5410760
1551b09e4ce
hex30d7bb680

13111113344 has 64 divisors (see below), whose sum is σ = 29893099200. Its totient is φ = 5611161600.

The previous prime is 13111113317. The next prime is 13111113347. The reversal of 13111113344 is 44331111131.

13111113344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13111113347) 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 7 ways as a sum of consecutive naturals, for example, 652244 + ... + 672044.

It is an arithmetic number, because the mean of its divisors is an integer number (467079675).

Almost surely, 213111113344 is an apocalyptic number.

13111113344 is a gapful number since it is divisible by the number (14) 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 13111113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946549600).

13111113344 is an abundant number, since it is smaller than the sum of its proper divisors (16781985856).

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

13111113344 is an equidigital number, since it uses as much as digits as its factorization.

13111113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20561 (or 20549 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

Adding to 13111113344 its reverse (44331111131), we get a palindrome (57442224475).

The spelling of 13111113344 in words is "thirteen billion, one hundred eleven million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 739 896 1478 2956 5173 5912 10346 11824 19801 20692 23648 39602 41384 47296 79204 82768 94592 138607 158408 165536 277214 316816 331072 554428 633632 662144 1108856 1267264 2217712 2534528 4435424 8870848 14632939 17741696 29265878 58531756 102430573 117063512 204861146 234127024 409722292 468254048 819444584 936508096 1638889168 1873016192 3277778336 6555556672 13111113344