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230113320000 = 263544146771
BaseRepresentation
bin1101011001001111010…
…0101001110001000000
3210222221222210211200120
43112103310221301000
512232233002220000
6253413531020240
722424264642604
oct3262364516100
9728858724616
10230113320000
1189654a74223
123872059a680
131891300c815
14b1cd5c7504
155ebbed46a0
hex3593d29c40

230113320000 has 280 divisors, whose sum is σ = 779381293152. Its totient is φ = 59865600000.

The previous prime is 230113319983. The next prime is 230113320007. The reversal of 230113320000 is 23311032.

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

It is not an unprimeable number, because it can be changed into a prime (230113320007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4896615 + ... + 4943385.

Almost surely, 2230113320000 is an apocalyptic number.

230113320000 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 230113320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389690646576).

230113320000 is an abundant number, since it is smaller than the sum of its proper divisors (549267973152).

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

230113320000 is an equidigital number, since it uses as much as digits as its factorization.

230113320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46847 (or 46822 counting only the distinct ones).

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

Adding to 230113320000 its reverse (23311032), we get a palindrome (230136631032).

The spelling of 230113320000 in words is "two hundred thirty billion, one hundred thirteen million, three hundred twenty thousand".