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230213313 = 33113492221
BaseRepresentation
bin11011011100011…
…00011011000001
3121001012001022000
431232030123001
5432413311223
634502134213
75463531561
oct1556143301
9531161260
10230213313
11108a49740
1265121369
13389053c5
1422808da1
1515326543
hexdb8c6c1

230213313 has 32 divisors (see below), whose sum is σ = 373296000. Its totient is φ = 139060800.

The previous prime is 230213309. The next prime is 230213327. The reversal of 230213313 is 313312032.

230213313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230213313 - 22 = 230213309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230213383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102543 + ... + 104763.

It is an arithmetic number, because the mean of its divisors is an integer number (11665500).

Almost surely, 2230213313 is an apocalyptic number.

It is an amenable number.

230213313 is a deficient number, since it is larger than the sum of its proper divisors (143082687).

230213313 is a wasteful number, since it uses less digits than its factorization.

230213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2584 counting only the distinct ones).

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

The square root of 230213313 is about 15172.7819795844. The cubic root of 230213313 is about 612.8819224592.

Adding to 230213313 its reverse (313312032), we get a palindrome (543525345).

The spelling of 230213313 in words is "two hundred thirty million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 349 1047 2221 3141 3839 6663 9423 11517 19989 24431 34551 59967 73293 103653 219879 659637 775129 2325387 6976161 8526419 20928483 25579257 76737771 230213313