Search a number
-
+
113566320000 = 273354722937
BaseRepresentation
bin110100111000100010…
…1001000010110000000
3101212010122001210201000
41221301011020112000
53330040434220000
6124101024212000
711130164535600
oct1516105102600
9355118053630
10113566320000
1144188255111
121a01516a000
13a92b317023
1456d4ac6c00
152e4a255000
hex1a71148580

113566320000 has 1920 divisors, whose sum is σ = 517643676000. Its totient is φ = 24385536000.

The previous prime is 113566319959. The next prime is 113566320031. The reversal of 113566320000 is 23665311.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3069359982 + ... + 3069360018.

Almost surely, 2113566320000 is an apocalyptic number.

113566320000 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 113566320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258821838000).

113566320000 is an abundant number, since it is smaller than the sum of its proper divisors (404077356000).

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

113566320000 is an equidigital number, since it uses as much as digits as its factorization.

113566320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 113566320000 its reverse (23665311), we get a palindrome (113589985311).

The spelling of 113566320000 in words is "one hundred thirteen billion, five hundred sixty-six million, three hundred twenty thousand".