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230330212320000 = 283541361605113
BaseRepresentation
bin110100010111101111101110…
…011111001000001100000000
31010012112100112112001201110110
4310113233232133020030000
5220142212233323220000
62133512123324431320
766341544244304112
oct6427575637101400
91105470475051413
10230330212320000
1167432549181901
12219bb6560a8540
139b6a0798a0950
1440c40828293b2
151b9663dae0850
hexd17bee7c8300

230330212320000 has 720 divisors, whose sum is σ = 838472554370528. Its totient is φ = 55767121920000.

The previous prime is 230330212319989. The next prime is 230330212320001. The reversal of 230330212320000 is 23212033032.

230330212320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230330212320001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 380337444 + ... + 380942556.

Almost surely, 2230330212320000 is an apocalyptic number.

230330212320000 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 230330212320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419236277185264).

230330212320000 is an abundant number, since it is smaller than the sum of its proper divisors (608142342050528).

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

230330212320000 is an equidigital number, since it uses as much as digits as its factorization.

230330212320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605226 (or 605197 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 230330212320000 its reverse (23212033032), we get a palindrome (230353424353032).

The spelling of 230330212320000 in words is "two hundred thirty trillion, three hundred thirty billion, two hundred twelve million, three hundred twenty thousand".