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105443430120 = 23325790746133
BaseRepresentation
bin110001000110011101…
…0110000111011101000
3101002011112102020120200
41202030322300323220
53211422004230440
6120235014352200
710421662240110
oct1421472607350
9332145366520
10105443430120
114079a081786
121852895b660
139c354a7802
145163d90040
152b22082c30
hex188ceb0ee8

105443430120 has 192 divisors, whose sum is σ = 392087329920. Its totient is φ = 24074260992.

The previous prime is 105443430109. The next prime is 105443430137. The reversal of 105443430120 is 21034344501.

It is a happy number.

105443430120 is a `hidden beast` number, since 105 + 4 + 4 + 3 + 430 + 120 = 666.

It is a super-2 number, since 2×1054434301202 (a number of 23 digits) contains 22 as substring.

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, 2262574 + ... + 2308706.

It is an arithmetic number, because the mean of its divisors is an integer number (2042121510).

Almost surely, 2105443430120 is an apocalyptic number.

105443430120 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 105443430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196043664960).

105443430120 is an abundant number, since it is smaller than the sum of its proper divisors (286643899800).

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

105443430120 is a wasteful number, since it uses less digits than its factorization.

105443430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47064 (or 47057 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 105443430120 its reverse (21034344501), we get a palindrome (126477774621).

The spelling of 105443430120 in words is "one hundred five billion, four hundred forty-three million, four hundred thirty thousand, one hundred twenty".