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230513613 = 311233197101
BaseRepresentation
bin11011011110101…
…01101111001101
3121001202022020020
431233111233031
5433002413423
634512412353
75466222231
oct1557255715
9531668206
10230513613
11109134320
12652470b9
13389abcb5
14228865c1
15153854e3
hexdbd5bcd

230513613 has 64 divisors (see below), whose sum is σ = 368492544. Its totient is φ = 126720000.

The previous prime is 230513593. The next prime is 230513617. The reversal of 230513613 is 316315032.

It is a happy number.

It is not a de Polignac number, because 230513613 - 210 = 230512589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230513617) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2282263 + ... + 2282363.

It is an arithmetic number, because the mean of its divisors is an integer number (5757696).

Almost surely, 2230513613 is an apocalyptic number.

230513613 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

230513613 is a deficient number, since it is larger than the sum of its proper divisors (137978931).

230513613 is a wasteful number, since it uses less digits than its factorization.

230513613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 230513613 is about 15182.6747643490. The cubic root of 230513613 is about 613.1482963858.

Adding to 230513613 its reverse (316315032), we get a palindrome (546828645).

The spelling of 230513613 in words is "two hundred thirty million, five hundred thirteen thousand, six hundred thirteen".

Divisors: 1 3 11 23 31 33 69 93 97 101 253 291 303 341 713 759 1023 1067 1111 2139 2231 2323 3007 3131 3201 3333 6693 6969 7843 9021 9393 9797 23529 24541 25553 29391 33077 34441 69161 72013 73623 76659 99231 103323 107767 207483 216039 225331 303707 323301 675993 760771 792143 911121 2282313 2376429 2478641 3340777 6985261 7435923 10022331 20955783 76837871 230513613