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1099109007360 = 2153257138191
BaseRepresentation
bin11111111111010000000…
…00001000000000000000
310220001222210111122121100
433333220000020000000
5121001433401213420
62200531304254400
7142256642262240
oct17775000100000
93801883448540
101099109007360
11394147421041
12159021471400
137c8513166b0
143b2a9013b20
151d8cc653190
hexffe8008000

1099109007360 has 768 divisors, whose sum is σ = 4690032721920. Its totient is φ = 231871610880.

The previous prime is 1099109007319. The next prime is 1099109007361. The reversal of 1099109007360 is 637009019901.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×10991090073602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1099109007361) by changing a digit.

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, 134180865 + ... + 134189055.

It is an arithmetic number, because the mean of its divisors is an integer number (6106813440).

Almost surely, 21099109007360 is an apocalyptic number.

1099109007360 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 1099109007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345016360960).

1099109007360 is an abundant number, since it is smaller than the sum of its proper divisors (3590923714560).

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

1099109007360 is an equidigital number, since it uses as much as digits as its factorization.

1099109007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 1099109007360 in words is "one trillion, ninety-nine billion, one hundred nine million, seven thousand, three hundred sixty".