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20132222201000 = 2353713616335897
BaseRepresentation
bin1001001001111011001011…
…11100111110110010101000
32122021121210011212020222022
410210331211330332302220
510114321242340413000
6110452340514444012
74145335143132230
oct444754574766250
978247704766868
1020132222201000
11646203364a718
122311914593608
13b305ca6910b0
144d8594902cc0
1524da42d4e585
hex124f65f3eca8

20132222201000 has 256 divisors, whose sum is σ = 57991823285760. Its totient is φ = 6370305177600.

The previous prime is 20132222200999. The next prime is 20132222201023. The reversal of 20132222201000 is 10222223102.

It is a self number, because there is not a number n which added to its sum of digits gives 20132222201000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560815052 + ... + 560850948.

It is an arithmetic number, because the mean of its divisors is an integer number (226530559710).

Almost surely, 220132222201000 is an apocalyptic number.

20132222201000 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 20132222201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28995911642880).

20132222201000 is an abundant number, since it is smaller than the sum of its proper divisors (37859601084760).

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

20132222201000 is a wasteful number, since it uses less digits than its factorization.

20132222201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42101 (or 42087 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20132222201000 its reverse (10222223102), we get a palindrome (20142444424102).

The spelling of 20132222201000 in words is "twenty trillion, one hundred thirty-two billion, two hundred twenty-two million, two hundred one thousand".