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11232131130 = 23251127173199
BaseRepresentation
bin10100111010111110…
…01011100000111010
31001222210020101021200
422131133023200322
5141000411144010
65054315315030
7545225352663
oct123537134072
931883211250
1011232131130
114844277400
12221574ba76
1310a005194c
14787a5836a
1545b143cc0
hex29d7cb83a

11232131130 has 288 divisors, whose sum is σ = 33163603200. Its totient is φ = 2634508800.

The previous prime is 11232131041. The next prime is 11232131137. The reversal of 11232131130 is 3113123211.

11232131130 is a `hidden beast` number, since 1 + 1 + 2 + 321 + 311 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11232131137) 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 143 ways as a sum of consecutive naturals, for example, 56442771 + ... + 56442969.

It is an arithmetic number, because the mean of its divisors is an integer number (115151400).

Almost surely, 211232131130 is an apocalyptic number.

11232131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11232131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581801600).

11232131130 is an abundant number, since it is smaller than the sum of its proper divisors (21931472070).

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

11232131130 is a wasteful number, since it uses less digits than its factorization.

11232131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

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

Adding to 11232131130 its reverse (3113123211), we get a palindrome (14345254341).

The spelling of 11232131130 in words is "eleven billion, two hundred thirty-two million, one hundred thirty-one thousand, one hundred thirty".