Search a number
-
+
11055000000 = 263571167
BaseRepresentation
bin10100100101110110…
…11110100111000000
31001112102221012001110
422102323132213000
5140120040000000
65024551003320
7540644643462
oct122273364700
931472835043
1011055000000
114763294140
122186369540
131072443825
1476c30a132
1544a805850
hex292ede9c0

11055000000 has 448 divisors, whose sum is σ = 40481146368. Its totient is φ = 2640000000.

The previous prime is 11054999983. The next prime is 11055000001. The reversal of 11055000000 is 55011.

11055000000 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 (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11055000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11055000001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 164999967 + ... + 165000033.

Almost surely, 211055000000 is an apocalyptic number.

11055000000 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 11055000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20240573184).

11055000000 is an abundant number, since it is smaller than the sum of its proper divisors (29426146368).

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

11055000000 is an frugal number, since it uses more digits than its factorization.

11055000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

Adding to 11055000000 its reverse (55011), we get a palindrome (11055055011).

The spelling of 11055000000 in words is "eleven billion, fifty-five million", and thus it is an aban number and an uban number.