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11210221230000 = 2435413241199271
BaseRepresentation
bin1010001100100001010101…
…0000010001011110110000
31110200200112120222122102220
42203020111100101132300
52432132013113330000
635501523214041040
72234624506150602
oct243102520213660
943620476878386
1011210221230000
1136322566a8531
1213107484a9180
1363417220bc00
142aa812d27172
1514690c13b1a0
hexa32154117b0

11210221230000 has 1200 divisors, whose sum is σ = 40492258329600. Its totient is φ = 2668723200000.

The previous prime is 11210221229971. The next prime is 11210221230001. The reversal of 11210221230000 is 3212201211.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×112102212300003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11210221230001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 41366129865 + ... + 41366130135.

It is an arithmetic number, because the mean of its divisors is an integer number (33743548608).

Almost surely, 211210221230000 is an apocalyptic number.

11210221230000 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 11210221230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20246129164800).

11210221230000 is an abundant number, since it is smaller than the sum of its proper divisors (29282037099600).

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

11210221230000 is a wasteful number, since it uses less digits than its factorization.

11210221230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11210221230000 its reverse (3212201211), we get a palindrome (11213433431211).

The spelling of 11210221230000 in words is "eleven trillion, two hundred ten billion, two hundred twenty-one million, two hundred thirty thousand".