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11321332000 = 255311793257
BaseRepresentation
bin10101000101100110…
…11101000100100000
31002020000002020212121
422202303131010200
5141141230111000
65111223234024
7550360506556
oct124263350440
932200066777
1011321332000
11488a662330
12223b5a8914
1310b5683c24
14795837bd6
15463db3b1a
hex2a2cdd120

11321332000 has 192 divisors, whose sum is σ = 30738839040. Its totient is φ = 4063488000.

The previous prime is 11321331971. The next prime is 11321332007. The reversal of 11321332000 is 23312311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11321332007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3474372 + ... + 3477628.

It is an arithmetic number, because the mean of its divisors is an integer number (160098120).

Almost surely, 211321332000 is an apocalyptic number.

11321332000 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 11321332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15369419520).

11321332000 is an abundant number, since it is smaller than the sum of its proper divisors (19417507040).

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

11321332000 is a wasteful number, since it uses less digits than its factorization.

11321332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11321332000 its reverse (23312311), we get a palindrome (11344644311).

The spelling of 11321332000 in words is "eleven billion, three hundred twenty-one million, three hundred thirty-two thousand".