Search a number
-
+
113236981200 = 243252723731721
BaseRepresentation
bin110100101110101110…
…0110011010111010000
3101211021200100122210200
41221131130303113100
53323402131344300
6124004221255200
711116055313300
oct1513534632720
9354250318720
10113236981200
1144029361a92
1219b42a04500
13a8a80161b5
1456a3077600
152e2b39d200
hex1a5d7335d0

113236981200 has 540 divisors, whose sum is σ = 458612982828. Its totient is φ = 25798348800.

The previous prime is 113236981163. The next prime is 113236981217. The reversal of 113236981200 is 2189632311.

113236981200 is a `hidden beast` number, since 1 + 13 + 2 + 369 + 81 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2039184 + 113234942016 = 1428^2 + 336504^2 .

It is a super-2 number, since 2×1132369812002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 65796340 + ... + 65798060.

Almost surely, 2113236981200 is an apocalyptic number.

113236981200 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 113236981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229306491414).

113236981200 is an abundant number, since it is smaller than the sum of its proper divisors (345376001628).

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

113236981200 is a wasteful number, since it uses less digits than its factorization.

113236981200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 113236981200 in words is "one hundred thirteen billion, two hundred thirty-six million, nine hundred eighty-one thousand, two hundred".