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230130113313 = 317194113742281
BaseRepresentation
bin1101011001010011010…
…0101101101100100001
3211000000011102000210010
43112110310231230201
512232301302111223
6253415330555133
722424560454652
oct3262464555441
9730004360703
10230130113313
11896634a42a1
1238726138aa9
131891663c4a9
14b1d1919529
155ebd700393
hex3594d2db21

230130113313 has 64 divisors (see below), whose sum is σ = 352895719680. Its totient is φ = 132481843200.

The previous prime is 230130113309. The next prime is 230130113327. The reversal of 230130113313 is 313311031032.

230130113313 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 230130113313 - 22 = 230130113309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230130113313.

It is not an unprimeable number, because it can be changed into a prime (230130113363) 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, 5421733 + ... + 5464013.

It is an arithmetic number, because the mean of its divisors is an integer number (5513995620).

Almost surely, 2230130113313 is an apocalyptic number.

It is an amenable number.

230130113313 is a deficient number, since it is larger than the sum of its proper divisors (122765606367).

230130113313 is a wasteful number, since it uses less digits than its factorization.

230130113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42498.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 230130113313 its reverse (313311031032), we get a palindrome (543441144345).

The spelling of 230130113313 in words is "two hundred thirty billion, one hundred thirty million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 17 19 41 51 57 123 137 323 411 697 779 969 2091 2329 2337 2603 5617 6987 7809 13243 16851 39729 42281 44251 95489 106723 126843 132753 286467 320169 718777 803339 1733521 1814291 2156331 2410017 5200563 5442873 5792497 13656763 17377491 29469857 32936899 40970289 88409571 98472449 98810697 110057443 237492377 295417347 330172329 559927283 712477131 1679781849 1870976531 4037370409 4512355163 5612929593 12112111227 13537065489 76710037771 230130113313