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12303321000 = 2335323414349
BaseRepresentation
bin10110111010101010…
…11100011110101000
31011202102212110112120
423131111130132220
5200144122233000
65352502511240
7613613334345
oct133525343650
934672773476
1012303321000
1152439a4193
122474435520
131210c560c9
1484a0177cc
154c01d86a0
hex2dd55c7a8

12303321000 has 256 divisors, whose sum is σ = 41041728000. Its totient is φ = 3060992000.

The previous prime is 12303320999. The next prime is 12303321061. The reversal of 12303321000 is 12330321.

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

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 63 ways as a sum of consecutive naturals, for example, 2826826 + ... + 2831174.

It is an arithmetic number, because the mean of its divisors is an integer number (160319250).

Almost surely, 212303321000 is an apocalyptic number.

12303321000 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 12303321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520864000).

12303321000 is an abundant number, since it is smaller than the sum of its proper divisors (28738407000).

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

12303321000 is a wasteful number, since it uses less digits than its factorization.

12303321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12303321000 its reverse (12330321), we get a palindrome (12315651321).

The spelling of 12303321000 in words is "twelve billion, three hundred three million, three hundred twenty-one thousand".