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11131312212000 = 2532533797101853
BaseRepresentation
bin1010000111111011010111…
…1010010000100000100000
31110102010212021202012101200
42201332311322100200200
52424333411411241000
635401353152001200
72226132202442541
oct241766572204040
943363767665350
1011131312212000
113601843607372
1212b93a5b30200
136298a811b196
142a6a890204c8
1514483e821500
hexa1fb5e90820

11131312212000 has 1152 divisors, whose sum is σ = 41445388490688. Its totient is φ = 2826731520000.

The previous prime is 11131312211989. The next prime is 11131312212017. The reversal of 11131312212000 is 21221313111.

11131312212000 is a `hidden beast` number, since 1 + 1 + 131 + 312 + 21 + 200 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 1545576076944 + 9585736135056 = 1243212^2 + 3096084^2 .

It is a super-2 number, since 2×111313122120002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 13049603574 + ... + 13049604426.

Almost surely, 211131312212000 is an apocalyptic number.

11131312212000 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 11131312212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20722694245344).

11131312212000 is an abundant number, since it is smaller than the sum of its proper divisors (30314076278688).

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

11131312212000 is a wasteful number, since it uses less digits than its factorization.

11131312212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11131312212000 its reverse (21221313111), we get a palindrome (11152533525111).

The spelling of 11131312212000 in words is "eleven trillion, one hundred thirty-one billion, three hundred twelve million, two hundred twelve thousand".