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2201332320000 = 28325411314483
BaseRepresentation
bin100000000010001001101…
…000011000011100000000
321210110000122010101220200
4200002021220120130000
5242031312033220000
64403140023205200
7315020031662652
oct40021150303400
97713018111820
102201332320000
117796417847a0
122b67718a6800
1312c77a8c6478
147878b8a66d2
153c3dd3c8500
hex20089a18700

2201332320000 has 1080 divisors, whose sum is σ = 8933304027648. Its totient is φ = 516326400000.

The previous prime is 2201332319993. The next prime is 2201332320017. The reversal of 2201332320000 is 232331022.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 491037759 + ... + 491042241.

Almost surely, 22201332320000 is an apocalyptic number.

2201332320000 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 2201332320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466652013824).

2201332320000 is an abundant number, since it is smaller than the sum of its proper divisors (6731971707648).

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

2201332320000 is a wasteful number, since it uses less digits than its factorization.

2201332320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2201332320000 its reverse (232331022), we get a palindrome (2201564651022).

The spelling of 2201332320000 in words is "two trillion, two hundred one billion, three hundred thirty-two million, three hundred twenty thousand".