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110022122111112 = 233219431987941299
BaseRepresentation
bin11001000001000010000101…
…100000011000000010001000
3112102120000022212012110112200
4121001002011200120002020
5103410100301230023422
61025555244245240200
732113556515411401
oct3101020540300210
9472500285173480
10110022122111112
113206913572a752
121040b036103060
134951070509233
141d25155dca9a8
15cabddb9122ac
hex641085818088

110022122111112 has 192 divisors, whose sum is σ = 321115835040000. Its totient is φ = 33918717071232.

The previous prime is 110022122111051. The next prime is 110022122111119. The reversal of 110022122111112 is 211111221220011.

It is a happy number.

110022122111112 is a `hidden beast` number, since 1 + 100 + 221 + 221 + 11 + 112 = 666.

110022122111112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110022122111119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116412639 + ... + 117353937.

It is an arithmetic number, because the mean of its divisors is an integer number (1672478307500).

Almost surely, 2110022122111112 is an apocalyptic number.

110022122111112 is a gapful number since it is divisible by the number (12) 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 110022122111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160557917520000).

110022122111112 is an abundant number, since it is smaller than the sum of its proper divisors (211093712928888).

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

110022122111112 is a wasteful number, since it uses less digits than its factorization.

110022122111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943360 (or 943353 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110022122111112 its reverse (211111221220011), we get a palindrome (321133343331123).

The spelling of 110022122111112 in words is "one hundred ten trillion, twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twelve".