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110120110320 = 243511198112707
BaseRepresentation
bin110011010001110101…
…0111000100011110000
3101112020110102012202110
41212203222320203300
53301011222012240
6122331040045320
710645610331213
oct1464352704360
9345213365673
10110120110320
1142779a27840
1219413003840
13a4cc3620bc
14548912b77a
152ce7920c80
hex19a3ab88f0

110120110320 has 320 divisors, whose sum is σ = 392634869760. Its totient is φ = 25250227200.

The previous prime is 110120110319. The next prime is 110120110381. The reversal of 110120110320 is 23011021011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110120110296 and 110120110305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40678407 + ... + 40681113.

It is an arithmetic number, because the mean of its divisors is an integer number (1226983968).

Almost surely, 2110120110320 is an apocalyptic number.

110120110320 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 110120110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196317434880).

110120110320 is an abundant number, since it is smaller than the sum of its proper divisors (282514759440).

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

110120110320 is a wasteful number, since it uses less digits than its factorization.

110120110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 110120110320 its reverse (23011021011), we get a palindrome (133131131331).

The spelling of 110120110320 in words is "one hundred ten billion, one hundred twenty million, one hundred ten thousand, three hundred twenty".