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230233131012300 = 22352131741283311969
BaseRepresentation
bin110100010110010101010011…
…111111010101000011001100
31010012012001221202110022100120
4310112111103333111003030
5220134114423014343200
62133355350143224540
766331536420640443
oct6426252377250314
91105161852408316
10230233131012300
11673a53603224a9
12219a48818a8150
139b60b77978090
1440bd4b3287d5a
151b93d5ac389a0
hexd16553fd50cc

230233131012300 has 288 divisors, whose sum is σ = 718108236256320. Its totient is φ = 56615495270400.

The previous prime is 230233131012217. The next prime is 230233131012343. The reversal of 230233131012300 is 3210131332032.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19235780716 + ... + 19235792684.

It is an arithmetic number, because the mean of its divisors is an integer number (2493431375890).

Almost surely, 2230233131012300 is an apocalyptic number.

230233131012300 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 230233131012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359054118128160).

230233131012300 is an abundant number, since it is smaller than the sum of its proper divisors (487875105244020).

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

230233131012300 is a wasteful number, since it uses less digits than its factorization.

230233131012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16573 (or 16566 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 230233131012300 its reverse (3210131332032), we get a palindrome (233443262344332).

The spelling of 230233131012300 in words is "two hundred thirty trillion, two hundred thirty-three billion, one hundred thirty-one million, twelve thousand, three hundred".