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11131293360 = 2435112419349
BaseRepresentation
bin10100101110111101…
…00000111010110000
31001201202111021212110
422113132200322300
5140244102341420
65040314125320
7542562301215
oct122736407260
931652437773
1011131293360
1147a2363500
1221a7a20840
1310851a6a25
147784c9b0c
15452375ee0
hex2977a0eb0

11131293360 has 240 divisors, whose sum is σ = 38858450400. Its totient is φ = 2632396800.

The previous prime is 11131293343. The next prime is 11131293367. The reversal of 11131293360 is 6339213111.

11131293360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11131293367) 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 47 ways as a sum of consecutive naturals, for example, 1185966 + ... + 1195314.

It is an arithmetic number, because the mean of its divisors is an integer number (161910210).

Almost surely, 211131293360 is an apocalyptic number.

11131293360 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 11131293360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429225200).

11131293360 is an abundant number, since it is smaller than the sum of its proper divisors (27727157040).

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

11131293360 is a wasteful number, since it uses less digits than its factorization.

11131293360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 11131293360 in words is "eleven billion, one hundred thirty-one million, two hundred ninety-three thousand, three hundred sixty".