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230120313000 = 233531723196181
BaseRepresentation
bin1101011001010000111…
…1010101000010101000
3210222222110222010021120
43112110033111002220
512232241300004000
6253414340535240
722424411246424
oct3262417250250
9728873863246
10230120313000
1189658a10166
12387229b1520
13189145ba7a6
14b1d04c7b84
155ebc9166a0
hex35943d50a8

230120313000 has 256 divisors, whose sum is σ = 793265840640. Its totient is φ = 55244288000.

The previous prime is 230120312987. The next prime is 230120313013. The reversal of 230120313000 is 313021032.

It is an interprime number because it is at equal distance from previous prime (230120312987) and next prime (230120313013).

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

It is an unprimeable number.

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, 1074910 + ... + 1271090.

It is an arithmetic number, because the mean of its divisors is an integer number (3098694690).

Almost surely, 2230120313000 is an apocalyptic number.

230120313000 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 230120313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396632920320).

230120313000 is an abundant number, since it is smaller than the sum of its proper divisors (563145527640).

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

230120313000 is a wasteful number, since it uses less digits than its factorization.

230120313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196245 (or 196231 counting only the distinct ones).

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

Adding to 230120313000 its reverse (313021032), we get a palindrome (230433334032).

The spelling of 230120313000 in words is "two hundred thirty billion, one hundred twenty million, three hundred thirteen thousand".