11300016150 has 288 divisors, whose sum is σ = 33537853440. Its totient is φ = 2718144000.

The previous prime is 11300016149. The next prime is 11300016163. The reversal of 11300016150 is 5161000311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13154421 + ... + 13155279.

It is an arithmetic number, because the mean of its divisors is an integer number (116450880).

Almost surely, 2^11300016150 is an apocalyptic number.

11300016150 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 11300016150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16768926720).

11300016150 is an abundant number, since it is smaller than the sum of its proper divisors (22237837290).

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

11300016150 is a wasteful number, since it uses less digits than its factorization.

11300016150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 11300016150 its reverse (5161000311), we get a palindrome (16461016461).

The spelling of 11300016150 in words is "eleven billion, three hundred million, sixteen thousand, one hundred fifty".