Search a number
-
+
230010331313 = 71783971012377
BaseRepresentation
bin1101011000110110101…
…1110010000010110001
3210222200211000110202202
43112031223302002301
512232030121100223
6253355411352545
722421604362210
oct3261553620261
9728624013682
10230010331313
1189601921304
12386b1bb2755
13188c7890879
14b1bda59077
155eb2e3e428
hex358daf20b1

230010331313 has 64 divisors (see below), whose sum is σ = 287527822848. Its totient is φ = 179557171200.

The previous prime is 230010331307. The next prime is 230010331357. The reversal of 230010331313 is 313133010032.

230010331313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 230010331313 - 24 = 230010331297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230010331513) 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, 96763781 + ... + 96766157.

It is an arithmetic number, because the mean of its divisors is an integer number (4492622232).

Almost surely, 2230010331313 is an apocalyptic number.

It is an amenable number.

230010331313 is a deficient number, since it is larger than the sum of its proper divisors (57517491535).

230010331313 is a wasteful number, since it uses less digits than its factorization.

230010331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 230010331313 its reverse (313133010032), we get a palindrome (543143341345).

The spelling of 230010331313 in words is "two hundred thirty billion, ten million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 7 17 83 97 101 119 581 679 707 1411 1649 1717 2377 8051 8383 9797 9877 11543 12019 16639 40409 56357 58681 68579 136867 142511 166549 197291 230569 240077 282863 813151 958069 997577 1165843 1381037 1613983 1680539 3353947 3919673 4081309 5692057 13823567 19137227 19926391 23287469 23477629 27437711 28569163 96764969 133960589 139484737 163012283 325332859 338748647 395886973 1932859927 2277330013 2371240529 2771208811 13530019489 32858618759 230010331313