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230120341000 = 23531123894889
BaseRepresentation
bin1101011001010000111…
…1011011111000001000
3210222222111000112200121
43112110033123320020
512232241301403000
6253414341313024
722424411424154
oct3262417337010
9728874015617
10230120341000
1189658a2a200
1238722a05774
13189145ca464
14b1d04d4064
155ebc91eb1a
hex35943dbe08

230120341000 has 192 divisors, whose sum is σ = 593527662000. Its totient is φ = 83447936000.

The previous prime is 230120340937. The next prime is 230120341013. The reversal of 230120341000 is 143021032.

It is a happy number.

230120341000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4702393476 + 225417947524 = 68574^2 + 474782^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47066556 + ... + 47071444.

Almost surely, 2230120341000 is an apocalyptic number.

230120341000 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 230120341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296763831000).

230120341000 is an abundant number, since it is smaller than the sum of its proper divisors (363407321000).

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

230120341000 is a wasteful number, since it uses less digits than its factorization.

230120341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 230120341000 its reverse (143021032), we get a palindrome (230263362032).

The spelling of 230120341000 in words is "two hundred thirty billion, one hundred twenty million, three hundred forty-one thousand".