Search a number
-
+
13333222320 = 24351123712409
BaseRepresentation
bin11000110101011100…
…01101001110110000
31021102012210212112220
430122232031032300
5204301301103240
610043013121040
7651260343165
oct143256151660
937365725486
1013333222320
115722290300
122701329180
131346432382
14906b0a06c
155308245d0
hex31ab8d3b0

13333222320 has 240 divisors, whose sum is σ = 46663784160. Its totient is φ = 3144683520.

The previous prime is 13333222303. The next prime is 13333222333. The reversal of 13333222320 is 2322233331.

13333222320 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 1068276 + ... + 1080684.

It is an arithmetic number, because the mean of its divisors is an integer number (194432434).

Almost surely, 213333222320 is an apocalyptic number.

13333222320 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 13333222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331892080).

13333222320 is an abundant number, since it is smaller than the sum of its proper divisors (33330561840).

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

13333222320 is a wasteful number, since it uses less digits than its factorization.

13333222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12484 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 13333222320 its reverse (2322233331), we get a palindrome (15655455651).

It can be divided in two parts, 13 and 333222320, that added together give a palindrome (333222333).

The spelling of 13333222320 in words is "thirteen billion, three hundred thirty-three million, two hundred twenty-two thousand, three hundred twenty".