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104112140000 = 255411538929
BaseRepresentation
bin110000011110110010…
…0010010111011100000
3100221201202100200212012
41200331210102323200
53201210201440000
6115454540252052
710343665405601
oct1407544227340
9327652320765
10104112140000
1140176652810
1218216b41028
139a8273558b
145079245da8
152a95261735
hex183d912ee0

104112140000 has 240 divisors, whose sum is σ = 284720047920. Its totient is φ = 37140480000.

The previous prime is 104112139991. The next prime is 104112140003. The reversal of 104112140000 is 41211401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104112140003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 11655536 + ... + 11664464.

It is an arithmetic number, because the mean of its divisors is an integer number (1186333533).

Almost surely, 2104112140000 is an apocalyptic number.

104112140000 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 104112140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142360023960).

104112140000 is an abundant number, since it is smaller than the sum of its proper divisors (180607907920).

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

104112140000 is an equidigital number, since it uses as much as digits as its factorization.

104112140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 104112140000 its reverse (41211401), we get a palindrome (104153351401).

The spelling of 104112140000 in words is "one hundred four billion, one hundred twelve million, one hundred forty thousand".