Search a number
-
+
330011010322201 = 13273100926511097
BaseRepresentation
bin100101100001001001010110…
…1000010101100111100011001
31121021110202002201111122222101
41023002102231002230330121
5321223400022120302301
63125512544252523401
7126340336323313105
oct11302225502547431
91537422081448871
10330011010322201
1196173979a5960a
123101a417780561
131121ab9b943b00
145b6c8921bc905
152824525065701
hex12c24ad0acf19

330011010322201 has 24 divisors (see below), whose sum is σ = 362603422007160. Its totient is φ = 300154811314176.

The previous prime is 330011010322183. The next prime is 330011010322241. The reversal of 330011010322201 is 102223010110033.

It can be written as a sum of positive squares in 12 ways, for example, as 270040235275801 + 59970775046400 = 16432901^2 + 7744080^2 .

It is not a de Polignac number, because 330011010322201 - 219 = 330011009797913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330011010322241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807516 + ... + 25703581.

It is an arithmetic number, because the mean of its divisors is an integer number (15108475916965).

Almost surely, 2330011010322201 is an apocalyptic number.

It is an amenable number.

330011010322201 is a deficient number, since it is larger than the sum of its proper divisors (32592411684959).

330011010322201 is a wasteful number, since it uses less digits than its factorization.

330011010322201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26512205 (or 26512192 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 330011010322201 its reverse (102223010110033), we get a palindrome (432234020432234).

The spelling of 330011010322201 in words is "three hundred thirty trillion, eleven billion, ten million, three hundred twenty-two thousand, two hundred one".

Divisors: 1 13 73 169 949 1009 12337 13117 73657 170521 957541 12448033 26511097 344644261 1935310081 4480375393 25159031053 26749696873 327067403689 347746059349 1952727871729 4520698771537 25385462332477 330011010322201