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1132424320000 = 2105419234049
BaseRepresentation
bin10000011110101001101…
…111111101010000000000
311000020222121010212221111
4100132221233331100000
5122023201111220000
62224121211133104
7144546346620511
oct20365157752000
94006877125844
101132424320000
113a7293008576
1216357a744194
1382a304c283c
143cb498a2a08
151e6cc356cba
hex107a9bfd400

1132424320000 has 440 divisors, whose sum is σ = 3107886408000. Its totient is φ = 410370048000.

The previous prime is 1132424319997. The next prime is 1132424320031. The reversal of 1132424320000 is 234242311.

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 39 ways as a sum of consecutive naturals, for example, 279677976 + ... + 279682024.

It is an arithmetic number, because the mean of its divisors is an integer number (7063378200).

Almost surely, 21132424320000 is an apocalyptic number.

1132424320000 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 1132424320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553943204000).

1132424320000 is an abundant number, since it is smaller than the sum of its proper divisors (1975462088000).

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

1132424320000 is an equidigital number, since it uses as much as digits as its factorization.

1132424320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1132424320000 its reverse (234242311), we get a palindrome (1132658562311).

The spelling of 1132424320000 in words is "one trillion, one hundred thirty-two billion, four hundred twenty-four million, three hundred twenty thousand".