Search a number
-
+
13110332512 = 253119368477
BaseRepresentation
bin11000011010110111…
…11100110001100000
31020211200101220012211
430031123330301200
5203322221120022
610004531531504
7642612662524
oct141533746140
936750356184
1013110332512
115618493952
12265a759b94
13130c1c2504
148c5289d84
1551ae97e77
hex30d6fcc60

13110332512 has 48 divisors (see below), whose sum is σ = 26782019712. Its totient is φ = 6310748160.

The previous prime is 13110332509. The next prime is 13110332531. The reversal of 13110332512 is 21523301131.

13110332512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 157218 + ... + 225694.

It is an arithmetic number, because the mean of its divisors is an integer number (557958744).

Almost surely, 213110332512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110332512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13391009856).

13110332512 is an abundant number, since it is smaller than the sum of its proper divisors (13671687200).

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

13110332512 is a wasteful number, since it uses less digits than its factorization.

13110332512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68711 (or 68703 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 13110332512 its reverse (21523301131), we get a palindrome (34633633643).

The spelling of 13110332512 in words is "thirteen billion, one hundred ten million, three hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 193 248 386 496 772 992 1544 3088 5983 6176 11966 23932 47864 68477 95728 136954 191456 273908 547816 1095632 2122787 2191264 4245574 8491148 13216061 16982296 26432122 33964592 52864244 67929184 105728488 211456976 409697891 422913952 819395782 1638791564 3277583128 6555166256 13110332512