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22113300000 = 25355116701
BaseRepresentation
bin10100100110000011…
…100010111000100000
32010002010002000212010
4110212003202320200
5330242001100000
614054140432520
71411662643251
oct244603427040
963063060763
1022113300000
119418421650
124351848740
1321154713cc
1410dac34b28
1589655dd50
hex5260e2e20

22113300000 has 288 divisors, whose sum is σ = 79162308288. Its totient is φ = 5360000000.

The previous prime is 22113299981. The next prime is 22113300017. The reversal of 22113300000 is 331122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

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 47 ways as a sum of consecutive naturals, for example, 3296650 + ... + 3303350.

It is an arithmetic number, because the mean of its divisors is an integer number (274869126).

Almost surely, 222113300000 is an apocalyptic number.

22113300000 is a gapful number since it is divisible by the number (20) 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 22113300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39581154144).

22113300000 is an abundant number, since it is smaller than the sum of its proper divisors (57049008288).

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

22113300000 is an equidigital number, since it uses as much as digits as its factorization.

22113300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 22113300000 its reverse (331122), we get a palindrome (22113631122).

The spelling of 22113300000 in words is "twenty-two billion, one hundred thirteen million, three hundred thousand".