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1012443320000 = 265479737277
BaseRepresentation
bin11101011101110100101…
…00110000111011000000
310120210021220201120112202
432232322110300323000
5113041440442220000
62053035434012332
7133101201140630
oct16567224607300
93523256646482
101012443320000
11360413950432
121442752770a8
137461c22b698
1437006ca46c0
151b508da5dd5
hexebba530ec0

1012443320000 has 280 divisors, whose sum is σ = 2898834501024. Its totient is φ = 343535616000.

The previous prime is 1012443319991. The next prime is 1012443320069. The reversal of 1012443320000 is 233442101.

1012443320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27141362 + ... + 27178638.

Almost surely, 21012443320000 is an apocalyptic number.

1012443320000 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 1012443320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449417250512).

1012443320000 is an abundant number, since it is smaller than the sum of its proper divisors (1886391181024).

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

1012443320000 is an frugal number, since it uses more digits than its factorization.

1012443320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37413 (or 37388 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1012443320000 its reverse (233442101), we get a palindrome (1012676762101).

The spelling of 1012443320000 in words is "one trillion, twelve billion, four hundred forty-three million, three hundred twenty thousand".