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11131001300 = 2252111310013
BaseRepresentation
bin10100101110111010…
…11001100111010100
31001201201221110020102
422113131121213110
5140244014020200
65040303553232
7542556643556
oct122735314724
931651843212
1011131001300
1147a2184031
1221a78bb818
131085103b03
147784514d6
154523196d5
hex2977599d4

11131001300 has 18 divisors (see below), whose sum is σ = 24154273038. Its totient is φ = 4452400480.

The previous prime is 11131001269. The next prime is 11131001309. The reversal of 11131001300 is 310013111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3243074704 + 7887926596 = 56948^2 + 88814^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131001309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55654907 + ... + 55655106.

Almost surely, 211131001300 is an apocalyptic number.

11131001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131001300 is an abundant number, since it is smaller than the sum of its proper divisors (13023271738).

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

11131001300 is a wasteful number, since it uses less digits than its factorization.

11131001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111310027 (or 111310020 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 11131001300 its reverse (310013111), we get a palindrome (11441014411).

The spelling of 11131001300 in words is "eleven billion, one hundred thirty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 111310013 222620026 445240052 556550065 1113100130 2226200260 2782750325 5565500650 11131001300