Search a number
-
+
11000001136 = 242937640727
BaseRepresentation
bin10100011111010011…
…01011001001110000
31001101121102221210111
422033221223021300
5140012000014021
65015304111104
7536406316105
oct121751531160
931347387714
1011000001136
114735239733
12216ba65494
131063c28017
14764cb0aac
15445a8e8e1
hex28fa6b270

11000001136 has 40 divisors (see below), whose sum is σ = 22643327520. Its totient is φ = 5166814464.

The previous prime is 11000001127. The next prime is 11000001167. The reversal of 11000001136 is 63110000011.

It is a happy number.

11000001136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 303196 + ... + 337531.

It is an arithmetic number, because the mean of its divisors is an integer number (566083188).

Almost surely, 211000001136 is an apocalyptic number.

11000001136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11000001136 is an abundant number, since it is smaller than the sum of its proper divisors (11643326384).

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

11000001136 is a wasteful number, since it uses less digits than its factorization.

11000001136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640801 (or 640795 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11000001136 its reverse (63110000011), we get a palindrome (74110001147).

The spelling of 11000001136 in words is "eleven billion, one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 1073 2146 4292 8584 17168 640727 1281454 2562908 5125816 10251632 18581083 23706899 37162166 47413798 74324332 94827596 148648664 189655192 297297328 379310384 687500071 1375000142 2750000284 5500000568 11000001136