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10011423040000 = 2954281111337
BaseRepresentation
bin1001000110101111011101…
…0100000110001000000000
31022110002020021200210211221
42101223313110012020000
52303011343244240000
633143103444244424
72052205252522024
oct221536724061000
938402207623757
1010011423040000
11320a903344048
1211583453a0714
135780c49004a5
142687ac280384
15125647be761a
hex91af7506200

10011423040000 has 200 divisors, whose sum is σ = 25085293783308. Its totient is φ = 3990282240000.

The previous prime is 10011423039983. The next prime is 10011423040001. The reversal of 10011423040000 is 4032411001.

It can be written as a sum of positive squares in 10 ways, for example, as 600860623104 + 9410562416896 = 775152^2 + 3067664^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10011423040001) 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 19 ways as a sum of consecutive naturals, for example, 89864332 + ... + 89975668.

Almost surely, 210011423040000 is an apocalyptic number.

10011423040000 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 10011423040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542646891654).

10011423040000 is an abundant number, since it is smaller than the sum of its proper divisors (15073870743308).

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

10011423040000 is an frugal number, since it uses more digits than its factorization.

10011423040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111656 (or 111625 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10011423040000 its reverse (4032411001), we get a palindrome (10015455451001).

The spelling of 10011423040000 in words is "ten trillion, eleven billion, four hundred twenty-three million, forty thousand".