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12331410000 = 243547134517
BaseRepresentation
bin10110111110000001…
…00110001001010000
31011211101201112101220
423133000212021100
5200223320110000
65355344525040
7614404153440
oct133700461120
934741645356
1012331410000
115258839938
122481920780
131216a0c310
1484da4a120
154c28d61a0
hex2df026250

12331410000 has 400 divisors, whose sum is σ = 49004613504. Its totient is φ = 2601216000.

The previous prime is 12331409983. The next prime is 12331410023. The reversal of 12331410000 is 1413321.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2727742 + ... + 2732258.

Almost surely, 212331410000 is an apocalyptic number.

12331410000 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 12331410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24502306752).

12331410000 is an abundant number, since it is smaller than the sum of its proper divisors (36673203504).

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

12331410000 is a wasteful number, since it uses less digits than its factorization.

12331410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12331410000 its reverse (1413321), we get a palindrome (12332823321).

The spelling of 12331410000 in words is "twelve billion, three hundred thirty-one million, four hundred ten thousand".