Search a number
-
+
11232113010300 = 223252713377946919
BaseRepresentation
bin1010001101110010111000…
…0110110010011001111100
31110202210001021020022101200
42203130232012302121330
52433011331412312200
635515543402535500
72236331142211140
oct243345606623174
943683037208350
1011232113010300
11364056aa79046
121314a37b07590
136362507ccc70
142ab8cc577220
1514728dede800
hexa372e1b267c

11232113010300 has 864 divisors, whose sum is σ = 45066382233600. Its totient is φ = 2276566456320.

The previous prime is 11232113010299. The next prime is 11232113010311. The reversal of 11232113010300 is 301031123211.

11232113010300 is a `hidden beast` number, since 1 + 1 + 2 + 321 + 1 + 30 + 10 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 239370241 + ... + 239417159.

Almost surely, 211232113010300 is an apocalyptic number.

11232113010300 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 11232113010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22533191116800).

11232113010300 is an abundant number, since it is smaller than the sum of its proper divisors (33834269223300).

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

11232113010300 is a wasteful number, since it uses less digits than its factorization.

11232113010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47075 (or 47065 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11232113010300 its reverse (301031123211), we get a palindrome (11533144133511).

The spelling of 11232113010300 in words is "eleven trillion, two hundred thirty-two billion, one hundred thirteen million, ten thousand, three hundred".