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11130300000 = 25325583149
BaseRepresentation
bin10100101110110101…
…01110011001100000
31001201200121211020100
422113122232121200
5140243324100000
65040240542400
7542550663141
oct122732563140
931650554210
1011130300000
1147a1845146
1221a7621a00
131084c19841
1477830bac8
1545222ba00
hex2976ae660

11130300000 has 432 divisors, whose sum is σ = 40307576400. Its totient is φ = 2912640000.

The previous prime is 11130299969. The next prime is 11130300011. The reversal of 11130300000 is 303111.

11130300000 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 (9).

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 71 ways as a sum of consecutive naturals, for example, 74699926 + ... + 74700074.

It is an arithmetic number, because the mean of its divisors is an integer number (93304575).

Almost surely, 211130300000 is an apocalyptic number.

11130300000 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 11130300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153788200).

11130300000 is an abundant number, since it is smaller than the sum of its proper divisors (29177276400).

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

11130300000 is an equidigital number, since it uses as much as digits as its factorization.

11130300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 11130300000 its reverse (303111), we get a palindrome (11130603111).

The spelling of 11130300000 in words is "eleven billion, one hundred thirty million, three hundred thousand".