Search a number
-
+
13303055304 = 23337111515297
BaseRepresentation
bin11000110001110110…
…01000001111001000
31021100010001020012000
430120323020033020
5204221040232204
610040014351000
7650443050540
oct143073101710
937303036160
1013303055304
115707256390
1226b31bb460
1313400cc376
14902ad6320
1552cd66039
hex318ec83c8

13303055304 has 256 divisors, whose sum is σ = 46385049600. Its totient is φ = 3431808000.

The previous prime is 13303055303. The next prime is 13303055317. The reversal of 13303055304 is 40355030331.

It is a happy number.

13303055304 is a `hidden beast` number, since 1 + 3 + 303 + 0 + 55 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13303055303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508784 + ... + 2514080.

It is an arithmetic number, because the mean of its divisors is an integer number (181191600).

Almost surely, 213303055304 is an apocalyptic number.

13303055304 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 13303055304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23192524800).

13303055304 is an abundant number, since it is smaller than the sum of its proper divisors (33081994296).

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

13303055304 is a wasteful number, since it uses less digits than its factorization.

13303055304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 13303055304 its reverse (40355030331), we get a palindrome (53658085635).

The spelling of 13303055304 in words is "thirteen billion, three hundred three million, fifty-five thousand, three hundred four".