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11321244000 = 25325311223113
BaseRepresentation
bin10101000101100110…
…00111100101100000
31002012222220210011100
422202303013211200
5141141214302000
65111221314400
7550356662163
oct124263074540
932188823140
1011321244000
11488a602200
12223b565a00
1310b5652b61
14795813ada
15463d97a00
hex2a2cc7960

11321244000 has 864 divisors, whose sum is σ = 46491786432. Its totient is φ = 2601984000.

The previous prime is 11321243971. The next prime is 11321244001. The reversal of 11321244000 is 44212311.

11321244000 is a `hidden beast` number, since 1 + 13 + 212 + 440 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321244001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100187944 + ... + 100188056.

It is an arithmetic number, because the mean of its divisors is an integer number (53809938).

Almost surely, 211321244000 is an apocalyptic number.

11321244000 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 11321244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23245893216).

11321244000 is an abundant number, since it is smaller than the sum of its proper divisors (35170542432).

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

11321244000 is a wasteful number, since it uses less digits than its factorization.

11321244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11321244000 its reverse (44212311), we get a palindrome (11365456311).

The spelling of 11321244000 in words is "eleven billion, three hundred twenty-one million, two hundred forty-four thousand".