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11021332000 = 255371672357
BaseRepresentation
bin10100100001110110…
…00010111000100000
31001110002120200020111
422100323002320200
5140032430111000
65021345221104
7540055530160
oct122073027040
931402520214
1011021332000
114746288948
122177031794
131068486133
14767a645a0
154478a4cba
hex290ec2e20

11021332000 has 192 divisors, whose sum is σ = 31146425856. Its totient is φ = 3754521600.

The previous prime is 11021331977. The next prime is 11021332051. The reversal of 11021332000 is 23312011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4674822 + ... + 4677178.

It is an arithmetic number, because the mean of its divisors is an integer number (162220968).

Almost surely, 211021332000 is an apocalyptic number.

11021332000 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 11021332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573212928).

11021332000 is an abundant number, since it is smaller than the sum of its proper divisors (20125093856).

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

11021332000 is a wasteful number, since it uses less digits than its factorization.

11021332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11021332000 its reverse (23312011), we get a palindrome (11044644011).

The spelling of 11021332000 in words is "eleven billion, twenty-one million, three hundred thirty-two thousand".