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110330130010320 = 2432511349389102611
BaseRepresentation
bin11001000101100000111100…
…001101010001000011010000
3112110122110100110101220212100
4121011200330031101003100
5103430122101240312240
61030352543443400400
732145042321354003
oct3105407415210320
9473573313356770
10110330130010320
11321778220aa170
121045a875383100
1349741183b552c
141d3601489153a
15cb4e1712be30
hex64583c3510d0

110330130010320 has 480 divisors, whose sum is σ = 406413706608000. Its totient is φ = 26601240268800.

The previous prime is 110330130010319. The next prime is 110330130010343. The reversal of 110330130010320 is 23010031033011.

It is a happy number.

110330130010320 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 30 + 1 + 300 + 10 + 320 = 666.

It is a super-2 number, since 2×1103301300103202 (a number of 29 digits) contains 22 as substring.

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 = 110330130010293 and 110330130010302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1075175815 + ... + 1075278425.

It is an arithmetic number, because the mean of its divisors is an integer number (846695222100).

Almost surely, 2110330130010320 is an apocalyptic number.

110330130010320 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 110330130010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203206853304000).

110330130010320 is an abundant number, since it is smaller than the sum of its proper divisors (296083576597680).

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

110330130010320 is a wasteful number, since it uses less digits than its factorization.

110330130010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103379 (or 103370 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 110330130010320 its reverse (23010031033011), we get a palindrome (133340161043331).

The spelling of 110330130010320 in words is "one hundred ten trillion, three hundred thirty billion, one hundred thirty million, ten thousand, three hundred twenty".