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11002320120 = 233511191932273
BaseRepresentation
bin10100011111100101…
…00001010011111000
31001101202210202211210
422033302201103320
5140013043220440
65015425523120
7536435115021
oct121762412370
931352722753
1011002320120
114736582a50
1221707a34a0
13106455a6bc
14765315c48
15445d9ba80
hex28fca14f8

11002320120 has 256 divisors, whose sum is σ = 38115878400. Its totient is φ = 2512650240.

The previous prime is 11002320113. The next prime is 11002320167. The reversal of 11002320120 is 2102320011.

11002320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11002320096 and 11002320105.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4839304 + ... + 4841576.

It is an arithmetic number, because the mean of its divisors is an integer number (148890150).

Almost surely, 211002320120 is an apocalyptic number.

11002320120 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 11002320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19057939200).

11002320120 is an abundant number, since it is smaller than the sum of its proper divisors (27113558280).

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

11002320120 is a wasteful number, since it uses less digits than its factorization.

11002320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11002320120 its reverse (2102320011), we get a palindrome (13104640131).

The spelling of 11002320120 in words is "eleven billion, two million, three hundred twenty thousand, one hundred twenty".