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2202201020096 = 26711711012617
BaseRepresentation
bin100000000010111101011…
…010001101011011000000
321210112021011201221102022
4200002331122031123000
5242040101430120341
64403402134341012
7315050410550210
oct40027532153300
97715234657368
102202201020096
11779a48078a60
122b69747ba768
1312c8888812ac
1478830dd6240
153c43e7c0e4b
hex200bd68d6c0

2202201020096 has 336 divisors, whose sum is σ = 5589328375296. Its totient is φ = 836183040000.

The previous prime is 2202201020083. The next prime is 2202201020099. The reversal of 2202201020096 is 6900201022022.

It is not an unprimeable number, because it can be changed into a prime (2202201020099) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3569207180 + ... + 3569207796.

Almost surely, 22202201020096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202201020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794664187648).

2202201020096 is an abundant number, since it is smaller than the sum of its proper divisors (3387127355200).

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

2202201020096 is a wasteful number, since it uses less digits than its factorization.

2202201020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 2202201020096 in words is "two trillion, two hundred two billion, two hundred one million, twenty thousand, ninety-six".