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115340123340 = 223451331241139
BaseRepresentation
bin110101101101011001…
…1101001110011001100
3102000201020210100110000
41223122303221303030
53342204032421330
6124553031044300
711222143605111
oct1533263516314
9360636710400
10115340123340
1144a08546892
121a42b210690
13ab519642c0
145822500908
153000d36560
hex1adace9ccc

115340123340 has 720 divisors, whose sum is σ = 415421788320. Its totient is φ = 26612582400.

The previous prime is 115340123323. The next prime is 115340123351. The reversal of 115340123340 is 43321043511.

It is a happy number.

115340123340 is a `hidden beast` number, since 1 + 1 + 534 + 0 + 123 + 3 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 829784991 + ... + 829785129.

It is an arithmetic number, because the mean of its divisors is an integer number (576974706).

Almost surely, 2115340123340 is an apocalyptic number.

115340123340 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 115340123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207710894160).

115340123340 is an abundant number, since it is smaller than the sum of its proper divisors (300081664980).

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

115340123340 is a wasteful number, since it uses less digits than its factorization.

115340123340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 115340123340 its reverse (43321043511), we get a palindrome (158661166851).

The spelling of 115340123340 in words is "one hundred fifteen billion, three hundred forty million, one hundred twenty-three thousand, three hundred forty".