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230332110000 = 243548119467
BaseRepresentation
bin1101011010000011011…
…1010001010010110000
3211000112020111112010220
43112200313101102300
512233210010010000
6253451344253040
722432562426406
oct3264067212260
9730466445126
10230332110000
1189757520403
1238781911180
1318949445565
14b21069b476
155ed13011a0
hex35a0dd14b0

230332110000 has 200 divisors, whose sum is σ = 744538221504. Its totient is φ = 61339680000.

The previous prime is 230332109893. The next prime is 230332110007. The reversal of 230332110000 is 11233032.

It is a tau number, because it is divible by the number of its divisors (200).

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 (230332110007) 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, 24325267 + ... + 24334733.

Almost surely, 2230332110000 is an apocalyptic number.

230332110000 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 230332110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372269110752).

230332110000 is an abundant number, since it is smaller than the sum of its proper divisors (514206111504).

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

230332110000 is an equidigital number, since it uses as much as digits as its factorization.

230332110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10309 (or 10288 counting only the distinct ones).

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

Adding to 230332110000 its reverse (11233032), we get a palindrome (230343343032).

The spelling of 230332110000 in words is "two hundred thirty billion, three hundred thirty-two million, one hundred ten thousand".