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230320321000 = 235371123130051
BaseRepresentation
bin1101011010000000101…
…0010011000111101000
3211000111102022120200021
43112200022103013220
512233144000233000
6253450243450224
722432360266220
oct3264012230750
9730442276607
10230320321000
11897508a9130
1238779986974
1318946b78613
14b20ccad080
155ed027311a
hex35a02931e8

230320321000 has 256 divisors, whose sum is σ = 701157150720. Its totient is φ = 68666400000.

The previous prime is 230320320973. The next prime is 230320321013. The reversal of 230320321000 is 123023032.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1705975 + ... + 1836025.

It is an arithmetic number, because the mean of its divisors is an integer number (2738895120).

Almost surely, 2230320321000 is an apocalyptic number.

230320321000 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 230320321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350578575360).

230320321000 is an abundant number, since it is smaller than the sum of its proper divisors (470836829720).

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

230320321000 is a wasteful number, since it uses less digits than its factorization.

230320321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130113 (or 130099 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 230320321000 its reverse (123023032), we get a palindrome (230443344032).

It can be divided in two parts, 23032032 and 1000, that added together give a palindrome (23033032).

The spelling of 230320321000 in words is "two hundred thirty billion, three hundred twenty million, three hundred twenty-one thousand".