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110231320320 = 28325115091709
BaseRepresentation
bin110011010101001001…
…1000111011100000000
3101112112012200021012100
41212222103013130000
53301223204222240
6122350051430400
710651430522502
oct1465223073400
9345465607170
10110231320320
1142826785530
12194442b5400
13a5193cc134
145499bd9d72
152d0258be30
hex19aa4c7700

110231320320 has 432 divisors, whose sum is σ = 417121941600. Its totient is φ = 26654638080.

The previous prime is 110231320289. The next prime is 110231320363. The reversal of 110231320320 is 23023132011.

110231320320 is a `hidden beast` number, since 1 + 1 + 0 + 23 + 1 + 320 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 110231320293 and 110231320302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64499626 + ... + 64501334.

It is an arithmetic number, because the mean of its divisors is an integer number (965560050).

Almost surely, 2110231320320 is an apocalyptic number.

110231320320 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 110231320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208560970800).

110231320320 is an abundant number, since it is smaller than the sum of its proper divisors (306890621280).

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

110231320320 is a wasteful number, since it uses less digits than its factorization.

110231320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 110231320320 its reverse (23023132011), we get a palindrome (133254452331).

The spelling of 110231320320 in words is "one hundred ten billion, two hundred thirty-one million, three hundred twenty thousand, three hundred twenty".