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11523324000 = 253532933113
BaseRepresentation
bin10101011101101011…
…11111100001100000
31002202002011111210210
422232311333201200
5142044432332000
65143240454120
7555362431536
oct125665774140
932662144723
1011523324000
114983685971
12229717a340
131118487b16
147b45b8156
154769b3350
hex2aed7f860

11523324000 has 192 divisors, whose sum is σ = 39053327040. Its totient is φ = 2966835200.

The previous prime is 11523323963. The next prime is 11523324031. The reversal of 11523324000 is 42332511.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 331444 + ... + 364556.

It is an arithmetic number, because the mean of its divisors is an integer number (203402745).

Almost surely, 211523324000 is an apocalyptic number.

11523324000 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 11523324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19526663520).

11523324000 is an abundant number, since it is smaller than the sum of its proper divisors (27530003040).

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

11523324000 is a wasteful number, since it uses less digits than its factorization.

11523324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33170 (or 33152 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 11523324000 its reverse (42332511), we get a palindrome (11565656511).

The spelling of 11523324000 in words is "eleven billion, five hundred twenty-three million, three hundred twenty-four thousand".