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11322201330000 = 243354113812189
BaseRepresentation
bin1010010011000010011111…
…0010011101000101010000
31111002101120200022010101000
42210300213302131011100
52441000332020030000
640025203020142000
72246000463251421
oct244604762350520
944071520263330
1011322201330000
11367579a533020
12132a39a397900
136418a9a06402
142b1dd70a5648
151497b2eb5000
hexa4c27c9d150

11322201330000 has 400 divisors, whose sum is σ = 44302527403200. Its totient is φ = 2744775360000.

The previous prime is 11322201329981. The next prime is 11322201330001. The reversal of 11322201330000 is 3310222311.

11322201330000 is a `hidden beast` number, since 1 + 132 + 2 + 201 + 330 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322201330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1063906 + ... + 4876094.

It is an arithmetic number, because the mean of its divisors is an integer number (110756318508).

Almost surely, 211322201330000 is an apocalyptic number.

11322201330000 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 11322201330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22151263701600).

11322201330000 is an abundant number, since it is smaller than the sum of its proper divisors (32980326073200).

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

11322201330000 is a wasteful number, since it uses less digits than its factorization.

11322201330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812237 (or 3812210 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11322201330000 its reverse (3310222311), we get a palindrome (11325511552311).

The spelling of 11322201330000 in words is "eleven trillion, three hundred twenty-two billion, two hundred one million, three hundred thirty thousand".