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230003001132300 = 223252111737292712619
BaseRepresentation
bin110100010010111110111111…
…001011100000010100001100
31010011101001221121111010121200
4310102332333023200110030
5220121332121242213200
62133101530421225500
766306111532143624
oct6422767713402414
91104331847433550
10230003001132300
11673167a7a78530
1221968157862290
139b452613bab56
1440b22c17cd884
151b8cd8c582800
hexd12fbf2e050c

230003001132300 has 864 divisors, whose sum is σ = 855600168084480. Its totient is φ = 51038578483200.

The previous prime is 230003001132293. The next prime is 230003001132323. The reversal of 230003001132300 is 3231100300032.

230003001132300 is a `hidden beast` number, since 2 + 30 + 0 + 0 + 300 + 1 + 1 + 32 + 300 = 666.

230003001132300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18226715391 + ... + 18226728009.

It is an arithmetic number, because the mean of its divisors is an integer number (990277972320).

Almost surely, 2230003001132300 is an apocalyptic number.

230003001132300 is a gapful number since it is divisible by the number (20) 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 230003001132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427800084042240).

230003001132300 is an abundant number, since it is smaller than the sum of its proper divisors (625597166952180).

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

230003001132300 is a wasteful number, since it uses less digits than its factorization.

230003001132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15631 (or 15621 counting only the distinct ones).

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

Adding to 230003001132300 its reverse (3231100300032), we get a palindrome (233234101432332).

The spelling of 230003001132300 in words is "two hundred thirty trillion, three billion, one million, one hundred thirty-two thousand, three hundred".