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110220300000 = 2532552941103
BaseRepresentation
bin110011010100110100…
…1000100111011100000
3101112111102221101011100
41212221221010323200
53301212344100000
6122345015314400
710651235043336
oct1465151047340
9345442841140
10110220300000
1142820538828
121944067ba00
13a517041035
14549856bb56
152d01611a00
hex19a9a44ee0

110220300000 has 864 divisors, whose sum is σ = 419198794560. Its totient is φ = 27417600000.

The previous prime is 110220299989. The next prime is 110220300023. The reversal of 110220300000 is 3022011.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1070099949 + ... + 1070100051.

It is an arithmetic number, because the mean of its divisors is an integer number (485183790).

Almost surely, 2110220300000 is an apocalyptic number.

110220300000 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 110220300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209599397280).

110220300000 is an abundant number, since it is smaller than the sum of its proper divisors (308978494560).

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

110220300000 is a wasteful number, since it uses less digits than its factorization.

110220300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 110220300000 its reverse (3022011), we get a palindrome (110223322011).

The spelling of 110220300000 in words is "one hundred ten billion, two hundred twenty million, three hundred thousand".