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230320001000 = 23532941971997
BaseRepresentation
bin1101011010000000100…
…1000100111111101000
3211000111101201022201102
43112200021010333220
512233143410013000
6253450232540532
722432354464245
oct3264011047750
9730441638642
10230320001000
11897506aa771
1238779851748
1318946a95a7b
14b20cc285cc
155ed020d3d5
hex35a0244fe8

230320001000 has 256 divisors, whose sum is σ = 577308513600. Its totient is φ = 85843968000.

The previous prime is 230320000997. The next prime is 230320001003. The reversal of 230320001000 is 100023032.

It is an interprime number because it is at equal distance from previous prime (230320000997) and next prime (230320001003).

It can be written as a sum of positive squares in 32 ways, for example, as 202285856644 + 28034144356 = 449762^2 + 167434^2 .

It is not an unprimeable number, because it can be changed into a prime (230320001003) 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 63 ways as a sum of consecutive naturals, for example, 115332002 + ... + 115333998.

Almost surely, 2230320001000 is an apocalyptic number.

230320001000 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 230320001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288654256800).

230320001000 is an abundant number, since it is smaller than the sum of its proper divisors (346988512600).

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

230320001000 is a wasteful number, since it uses less digits than its factorization.

230320001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 230320001000 its reverse (100023032), we get a palindrome (230420024032).

The spelling of 230320001000 in words is "two hundred thirty billion, three hundred twenty million, one thousand".