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12331003230 = 232571319109727
BaseRepresentation
bin10110111101111110…
…00010110101011110
31011211100221212102100
423132333002311132
5200223214100410
65355332105530
7614400540510
oct133677026536
934740855370
1012331003230
115258591267
1224817652a6
1312168c9120
1484d981bb0
154c28558c0
hex2defc2d5e

12331003230 has 384 divisors, whose sum is σ = 41974732800. Its totient is φ = 2438802432.

The previous prime is 12331003213. The next prime is 12331003277. The reversal of 12331003230 is 3230013321.

12331003230 is a `hidden beast` number, since 12 + 331 + 0 + 0 + 323 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16961127 + ... + 16961853.

It is an arithmetic number, because the mean of its divisors is an integer number (109309200).

Almost surely, 212331003230 is an apocalyptic number.

12331003230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331003230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20987366400).

12331003230 is an abundant number, since it is smaller than the sum of its proper divisors (29643729570).

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

12331003230 is a wasteful number, since it uses less digits than its factorization.

12331003230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12331003230 its reverse (3230013321), we get a palindrome (15561016551).

The spelling of 12331003230 in words is "twelve billion, three hundred thirty-one million, three thousand, two hundred thirty".