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230321300112 = 243210115836173
BaseRepresentation
bin1101011010000000111…
…0000010001010010000
3211000111111011022202200
43112200032002022100
512233144223100422
6253450320443200
722432401514611
oct3264016021220
9730444138680
10230321300112
1189751407812
123877a179500
131894712c187
14b20d085c08
155ed03b82ac
hex35a0382290

230321300112 has 60 divisors (see below), whose sum is σ = 650961768444. Its totient is φ = 76013625600.

The previous prime is 230321300059. The next prime is 230321300147. The reversal of 230321300112 is 211003123032.

230321300112 is a `hidden beast` number, since 2 + 30 + 321 + 300 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216861587856 + 13459712256 = 465684^2 + 116016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7903543 + ... + 7932630.

Almost surely, 2230321300112 is an apocalyptic number.

It is an amenable number.

230321300112 is an abundant number, since it is smaller than the sum of its proper divisors (420640468332).

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

230321300112 is a wasteful number, since it uses less digits than its factorization.

230321300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15836288 (or 15836279 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230321300112 its reverse (211003123032), we get a palindrome (441324423144).

The spelling of 230321300112 in words is "two hundred thirty billion, three hundred twenty-one million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 15836173 31672346 47508519 63344692 95017038 126689384 142525557 190034076 253378768 285051114 380068152 570102228 760136304 1140204456 1599453473 2280408912 3198906946 4798360419 6397813892 9596720838 12795627784 14395081257 19193441676 25591255568 28790162514 38386883352 57580325028 76773766704 115160650056 230321300112