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12301113000 = 23353111923853
BaseRepresentation
bin10110111010011010…
…00001011010101000
31011202021201021201210
423131031001122220
5200143041104000
65352343313120
7613555510131
oct133515013250
934667637653
1012301113000
1152427262a0
12247374b7a0
1312106620b7
14849a00c88
154bedee350
hex2dd3416a8

12301113000 has 512 divisors, whose sum is σ = 46042214400. Its totient is φ = 2699136000.

The previous prime is 12301112969. The next prime is 12301113001. The reversal of 12301113000 is 31110321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12301113001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14420574 + ... + 14421426.

It is an arithmetic number, because the mean of its divisors is an integer number (89926200).

Almost surely, 212301113000 is an apocalyptic number.

12301113000 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 12301113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23021107200).

12301113000 is an abundant number, since it is smaller than the sum of its proper divisors (33741101400).

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

12301113000 is a wasteful number, since it uses less digits than its factorization.

12301113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12301113000 its reverse (31110321), we get a palindrome (12332223321).

The spelling of 12301113000 in words is "twelve billion, three hundred one million, one hundred thirteen thousand".