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13221303000000 = 2635629151969
BaseRepresentation
bin1100000001100101001100…
…0100011001101111000000
31201210221111100010201222220
43000121103010121233000
53213104212032000000
644041441023531040
72533131133146204
oct300312304315700
951727440121886
1013221303000000
114238139957117
121596463759a80
1374b9c05ca824
14339cb3490b04
1517ddb2e5b1a0
hexc0653119bc0

13221303000000 has 392 divisors, whose sum is σ = 45234241306800. Its totient is φ = 3404083200000.

The previous prime is 13221302999939. The next prime is 13221303000001. The reversal of 13221303000000 is 30312231.

It is a super-3 number, since 3×132213030000003 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221303000001) 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 55 ways as a sum of consecutive naturals, for example, 86924016 + ... + 87075984.

Almost surely, 213221303000000 is an apocalyptic number.

13221303000000 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 13221303000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22617120653400).

13221303000000 is an abundant number, since it is smaller than the sum of its proper divisors (32012938306800).

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

13221303000000 is an frugal number, since it uses more digits than its factorization.

13221303000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152043 (or 152008 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13221303000000 its reverse (30312231), we get a palindrome (13221333312231).

The spelling of 13221303000000 in words is "thirteen trillion, two hundred twenty-one billion, three hundred three million", and thus it is an aban number.