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11000130330 = 235717892389
BaseRepresentation
bin10100011111010100…
…01010101100011010
31001101121200112000110
422033222022230122
5140012013132310
65015310545150
7536410364550
oct121752125432
931347615013
1011000130330
114735317802
12216bb081b6
131063c71a77
14764d05bd0
15445ab7d20
hex28fa8ab1a

11000130330 has 192 divisors, whose sum is σ = 32392638720. Its totient is φ = 2333810688.

The previous prime is 11000130307. The next prime is 11000130413. The reversal of 11000130330 is 3303100011.

11000130330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 28277776 + ... + 28278164.

It is an arithmetic number, because the mean of its divisors is an integer number (168711660).

Almost surely, 211000130330 is an apocalyptic number.

11000130330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16196319360).

11000130330 is an abundant number, since it is smaller than the sum of its proper divisors (21392508390).

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

11000130330 is a wasteful number, since it uses less digits than its factorization.

11000130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 11000130330 its reverse (3303100011), we get a palindrome (14303230341).

The spelling of 11000130330 in words is "eleven billion, one hundred thirty thousand, three hundred thirty".