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230123313 = 32737269367
BaseRepresentation
bin11011011011101…
…10011100110001
3121001000110211200
431231312130301
5432402421223
634500201413
75463005310
oct1555663461
9531013750
10230123313
11108998062
1265099269
13388a3454
14227c4277
1515309a43
hexdb76731

230123313 has 48 divisors (see below), whose sum is σ = 392670720. Its totient is φ = 127122048.

The previous prime is 230123281. The next prime is 230123329. The reversal of 230123313 is 313321032.

230123313 is a `hidden beast` number, since 230 + 123 + 313 = 666.

It is not a de Polignac number, because 230123313 - 25 = 230123281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230123213) 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 47 ways as a sum of consecutive naturals, for example, 626856 + ... + 627222.

It is an arithmetic number, because the mean of its divisors is an integer number (8180640).

Almost surely, 2230123313 is an apocalyptic number.

It is an amenable number.

230123313 is a deficient number, since it is larger than the sum of its proper divisors (162547407).

230123313 is a wasteful number, since it uses less digits than its factorization.

230123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 230123313 is about 15169.8158525409. The cubic root of 230123313 is about 612.8020450014.

Adding to 230123313 its reverse (313321032), we get a palindrome (543444345).

The spelling of 230123313 in words is "two hundred thirty million, one hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 37 63 111 259 269 333 367 777 807 1101 1883 2331 2421 2569 3303 5649 7707 9953 13579 16947 23121 29859 40737 69671 89577 95053 98723 122211 209013 285159 296169 627039 691061 855477 888507 2073183 3652751 6219549 10958253 25569257 32874759 76707771 230123313