Search a number
-
+
11016320000 = 2105472459
BaseRepresentation
bin10100100001001111…
…11011010000000000
31001102202011001001212
422100213323100000
5140030134220000
65021045545252
7536665114010
oct122047732000
931382131055
1011016320000
1147434752a4
122175415228
13106741ca5a
1476711bc40
15447214c35
hex2909fb400

11016320000 has 220 divisors, whose sum is σ = 31462553760. Its totient is φ = 3775488000.

The previous prime is 11016319999. The next prime is 11016320009. The reversal of 11016320000 is 2361011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11016320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4478771 + ... + 4481229.

It is an arithmetic number, because the mean of its divisors is an integer number (143011608).

Almost surely, 211016320000 is an apocalyptic number.

11016320000 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 11016320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15731276880).

11016320000 is an abundant number, since it is smaller than the sum of its proper divisors (20446233760).

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

11016320000 is an frugal number, since it uses more digits than its factorization.

11016320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11016320000 its reverse (2361011), we get a palindrome (11018681011).

The spelling of 11016320000 in words is "eleven billion, sixteen million, three hundred twenty thousand".