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110022020000200 = 235271156411266493
BaseRepresentation
bin11001000001000001111111…
…011010110110100111001000
3112102120000001202001200201001
4121001001333122312213020
5103410100044110001300
61025555230200504344
732113554135445060
oct3101017732664710
9472500052050631
10110022020000200
1132069093027270
121040b007a7b0b4
134951055306989
141d2514660a3a0
15cabdd299216a
hex64107f6b69c8

110022020000200 has 192 divisors, whose sum is σ = 318977760366720. Its totient is φ = 34286471424000.

The previous prime is 110022020000197. The next prime is 110022020000201. The reversal of 110022020000200 is 2000020220011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (110022020000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86238154 + ... + 87504646.

It is an arithmetic number, because the mean of its divisors is an integer number (1661342501910).

Almost surely, 2110022020000200 is an apocalyptic number.

110022020000200 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 110022020000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159488880183360).

110022020000200 is an abundant number, since it is smaller than the sum of its proper divisors (208955740366520).

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

110022020000200 is a wasteful number, since it uses less digits than its factorization.

110022020000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272168 (or 1272159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 110022020000200 its reverse (2000020220011), we get a palindrome (112022040220211).

The spelling of 110022020000200 in words is "one hundred ten trillion, twenty-two billion, twenty million, two hundred", and thus it is an aban number.