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230230330011 = 321115799114947
BaseRepresentation
bin1101011001101011001…
…1000000101010011011
3211000021010222120020200
43112122303000222123
512233002431030021
6253433310553243
722430215341633
oct3263263005233
9730233876220
10230230330011
1189705023610
1238753808823
131893132a806
14b200d656c3
155ec73e9126
hex359acc0a9b

230230330011 has 48 divisors (see below), whose sum is σ = 365490797568. Its totient is φ = 138495614400.

The previous prime is 230230330007. The next prime is 230230330079. The reversal of 230230330011 is 110033032032.

230230330011 is a `hidden beast` number, since 2 + 302 + 30 + 330 + 0 + 1 + 1 = 666.

230230330011 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 230230330011 - 22 = 230230330007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230230330111) 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 47 ways as a sum of consecutive naturals, for example, 15395640 + ... + 15410586.

It is an arithmetic number, because the mean of its divisors is an integer number (7614391616).

Almost surely, 2230230330011 is an apocalyptic number.

230230330011 is a deficient number, since it is larger than the sum of its proper divisors (135260467557).

230230330011 is a wasteful number, since it uses less digits than its factorization.

230230330011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16112 (or 16109 counting only the distinct ones).

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

Adding to 230230330011 its reverse (110033032032), we get a palindrome (340263362043).

The spelling of 230230330011 in words is "two hundred thirty billion, two hundred thirty million, three hundred thirty thousand, eleven".

Divisors: 1 3 9 11 33 99 157 471 991 1413 1727 2973 5181 8919 10901 14947 15543 32703 44841 98109 134523 155587 164417 466761 493251 1400283 1479753 1711457 2346679 5134371 7040037 14812477 15403113 21120111 25813469 44437431 77440407 133312293 162937247 232321221 488811741 1466435223 2325558889 6976676667 20930030001 25581147779 76743443337 230230330011