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116321346000 = 2434534183211
BaseRepresentation
bin110110001010101001…
…0101110000111010000
3102010020122010121220000
41230111102232013100
53401211231033000
6125234242050000
711255360061426
oct1542522560720
9363218117800
10116321346000
1145371404a02
121a663949900
13ac7a028722
1458b6961116
15305c059000
hex1b154ae1d0

116321346000 has 800 divisors, whose sum is σ = 437659238016. Its totient is φ = 29756160000.

The previous prime is 116321345993. The next prime is 116321346017. The reversal of 116321346000 is 643123611.

116321346000 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 21 + 34 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 551285895 + ... + 551286105.

Almost surely, 2116321346000 is an apocalyptic number.

116321346000 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 116321346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218829619008).

116321346000 is an abundant number, since it is smaller than the sum of its proper divisors (321337892016).

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

116321346000 is a wasteful number, since it uses less digits than its factorization.

116321346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 116321346000 its reverse (643123611), we get a palindrome (116964469611).

The spelling of 116321346000 in words is "one hundred sixteen billion, three hundred twenty-one million, three hundred forty-six thousand".