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20132022110200 = 235271113167602153
BaseRepresentation
bin1001001001111010110100…
…00001101100011111111000
32122021121021020100120222221
410210331122001230133320
510114320340130011300
6110452305010053424
74145330163316150
oct444753201543770
978247236316887
1020132022110200
116461a40705520
12231187957a274
13b305980a4680
144d85760d9760
1524da304c831a
hex124f5a06c7f8

20132022110200 has 384 divisors, whose sum is σ = 63222123525120. Its totient is φ = 5757536563200.

The previous prime is 20132022110141. The next prime is 20132022110203. The reversal of 20132022110200 is 201122023102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132022110203) 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 95 ways as a sum of consecutive naturals, for example, 33132324 + ... + 33734476.

It is an arithmetic number, because the mean of its divisors is an integer number (164640946680).

Almost surely, 220132022110200 is an apocalyptic number.

20132022110200 is a gapful number since it is divisible by the number (20) 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 20132022110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31611061762560).

20132022110200 is an abundant number, since it is smaller than the sum of its proper divisors (43090101414920).

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

20132022110200 is a wasteful number, since it uses less digits than its factorization.

20132022110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602367 (or 602358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20132022110200 its reverse (201122023102), we get a palindrome (20333144133302).

The spelling of 20132022110200 in words is "twenty trillion, one hundred thirty-two billion, twenty-two million, one hundred ten thousand, two hundred".