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11244330000 = 2432541011237
BaseRepresentation
bin10100111100011011…
…01101110000010000
31002000122012010222200
422132031231300100
5141012022030000
65055433003200
7545434141131
oct123615556020
932018163880
1011244330000
114850149612
122219853500
1310a2733307
14789511c88
1545c253500
hex29e36dc10

11244330000 has 300 divisors, whose sum is σ = 39744487068. Its totient is φ = 2966400000.

The previous prime is 11244329981. The next prime is 11244330037. The reversal of 11244330000 is 3344211.

It can be written as a sum of positive squares in 10 ways, for example, as 4034282256 + 7210047744 = 63516^2 + 84912^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9089382 + ... + 9090618.

Almost surely, 211244330000 is an apocalyptic number.

11244330000 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 11244330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872243534).

11244330000 is an abundant number, since it is smaller than the sum of its proper divisors (28500157068).

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

11244330000 is a wasteful number, since it uses less digits than its factorization.

11244330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11244330000 its reverse (3344211), we get a palindrome (11247674211).

The spelling of 11244330000 in words is "eleven billion, two hundred forty-four million, three hundred thirty thousand".