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11131320332000 = 255311925727329
BaseRepresentation
bin1010000111111011011001…
…1001001110111011100000
31110102010212212000201221102
42201332312121032323200
52424333421001111000
635401354042013532
72226132331452161
oct241766631167340
943363785021842
1011131320332000
113601848153010
1212b93a87a72a8
136298a9a0210b
142a6a8a135768
151448403c73d5
hexa1fb664eee0

11131320332000 has 192 divisors, whose sum is σ = 29840301167040. Its totient is φ = 4047167488000.

The previous prime is 11131320331981. The next prime is 11131320332047. The reversal of 11131320332000 is 23302313111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407294336 + ... + 407321664.

It is an arithmetic number, because the mean of its divisors is an integer number (155418235245).

Almost surely, 211131320332000 is an apocalyptic number.

11131320332000 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 11131320332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14920150583520).

11131320332000 is an abundant number, since it is smaller than the sum of its proper divisors (18708980835040).

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

11131320332000 is a wasteful number, since it uses less digits than its factorization.

11131320332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36622 (or 36604 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11131320332000 its reverse (23302313111), we get a palindrome (11154622645111).

The spelling of 11131320332000 in words is "eleven trillion, one hundred thirty-one billion, three hundred twenty million, three hundred thirty-two thousand".