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11311230440 = 235282780761
BaseRepresentation
bin10101000100011001…
…11010110111101000
31002012022002001010202
422202030322313220
5141131133333230
65110222531332
7550205605136
oct124214726750
932168061122
1011311230440
114884992934
122238136b48
1310b3558083
14794368756
1546306aa45
hex2a233ade8

11311230440 has 16 divisors (see below), whose sum is σ = 25450268580. Its totient is φ = 4524492160.

The previous prime is 11311230407. The next prime is 11311230451. The reversal of 11311230440 is 4403211311.

11311230440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11202528964 + 108701476 = 105842^2 + 10426^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 3 ways as a sum of consecutive naturals, for example, 141390341 + ... + 141390420.

Almost surely, 211311230440 is an apocalyptic number.

11311230440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311230440 is an abundant number, since it is smaller than the sum of its proper divisors (14139038140).

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

11311230440 is a wasteful number, since it uses less digits than its factorization.

11311230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282780772 (or 282780768 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11311230440 its reverse (4403211311), we get a palindrome (15714441751).

The spelling of 11311230440 in words is "eleven billion, three hundred eleven million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 282780761 565561522 1131123044 1413903805 2262246088 2827807610 5655615220 11311230440