Search a number
-
+
115600111010010 = 2325111376476591999
BaseRepresentation
bin11010010010001100111111…
…100011011000000011011010
3120011022021002111101212010100
4122102030333203120003122
5110122443011404310020
61045505542522000230
733230555341636254
oct3222147743300332
9504267074355110
10115600111010010
1133919805a81760
1210b700ab346076
134c67074cbcc03
14207910a5c6cd4
15d570568cda90
hex69233f8d80da

115600111010010 has 384 divisors, whose sum is σ = 331455421440000. Its totient is φ = 27720690600960.

The previous prime is 115600111009997. The next prime is 115600111010039. The reversal of 115600111010010 is 10010111006511.

It is a happy number.

115600111010010 is a `hidden beast` number, since 1 + 1 + 560 + 0 + 1 + 1 + 1 + 0 + 100 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57828968991 + ... + 57828970989.

It is an arithmetic number, because the mean of its divisors is an integer number (863165160000).

Almost surely, 2115600111010010 is an apocalyptic number.

115600111010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115600111010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165727710720000).

115600111010010 is an abundant number, since it is smaller than the sum of its proper divisors (215855310429990).

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

115600111010010 is a wasteful number, since it uses less digits than its factorization.

115600111010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 115600111010010 its reverse (10010111006511), we get a palindrome (125610222016521).

The spelling of 115600111010010 in words is "one hundred fifteen trillion, six hundred billion, one hundred eleven million, ten thousand, ten".