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110010201120 = 25325596121227
BaseRepresentation
bin110011001110100011…
…1100111010000100000
3101111221210121020200100
41212131013213100200
53300300102413440
6122312112222400
710643104165221
oct1463507472040
9344853536610
10110010201120
1142722988396
12193a223aa00
13a4b265c181
1454786bb248
152cdce60230
hex199d1e7420

110010201120 has 288 divisors, whose sum is σ = 388049538240. Its totient is φ = 28364728320.

The previous prime is 110010201113. The next prime is 110010201127. The reversal of 110010201120 is 21102010011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110010201113) and next prime (110010201127).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110010201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5171947 + ... + 5193173.

It is an arithmetic number, because the mean of its divisors is an integer number (1347394230).

Almost surely, 2110010201120 is an apocalyptic number.

110010201120 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 110010201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194024769120).

110010201120 is an abundant number, since it is smaller than the sum of its proper divisors (278039337120).

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

110010201120 is a wasteful number, since it uses less digits than its factorization.

110010201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21368 (or 21357 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110010201120 its reverse (21102010011), we get a palindrome (131112211131).

The spelling of 110010201120 in words is "one hundred ten billion, ten million, two hundred one thousand, one hundred twenty".