Search a number
-
+
113234344000 = 265389359443
BaseRepresentation
bin110100101110101001…
…0101111100001000000
3101211021111101200020121
41221131102233201000
53323400443002000
6124004044550024
711116024020541
oct1513522574100
9354244350217
10113234344000
1144027920688
1219b41b52314
13a8a7601a1b
1456a298c4c8
152e2b02bb1a
hex1a5d4af840

113234344000 has 224 divisors, whose sum is σ = 285007507200. Its totient is φ = 44559257600.

The previous prime is 113234343983. The next prime is 113234344009. The reversal of 113234344000 is 443432311.

It is a super-2 number, since 2×1132343440002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (113234344009) 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 31 ways as a sum of consecutive naturals, for example, 255607779 + ... + 255608221.

Almost surely, 2113234344000 is an apocalyptic number.

113234344000 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 113234344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142503753600).

113234344000 is an abundant number, since it is smaller than the sum of its proper divisors (171773163200).

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

113234344000 is an equidigital number, since it uses as much as digits as its factorization.

113234344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 113234344000 its reverse (443432311), we get a palindrome (113677776311).

The spelling of 113234344000 in words is "one hundred thirteen billion, two hundred thirty-four million, three hundred forty-four thousand".