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330030320231313 = 32132820771967789
BaseRepresentation
bin100101100001010010010110…
…0000000001010001110010001
31121021112120221110111200111100
41023002210230000022032101
5321224204043434400223
63125525500331135013
7126341621665656162
oct11302445400121621
91537476843450440
10330030320231313
1196181088997089
12310221065a4469
131121c95836b730
145b6d7a4989769
152824ca541a043
hex12c292c00a391

330030320231313 has 12 divisors (see below), whose sum is σ = 513380498137780. Its totient is φ = 203095581680736.

The previous prime is 330030320231237. The next prime is 330030320231327. The reversal of 330030320231313 is 313132023030033.

330030320231313 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 3 + 0 + 320 + 23 + 1 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44395409088144 + 285634911143169 = 6662988^2 + 16900737^2 .

It is a de Polignac number, because none of the positive numbers 2k-330030320231313 is a prime.

It is a super-4 number, since 4×3300303202313134 (a number of 59 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (330030320231413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1410385983778 + ... + 1410385984011.

Almost surely, 2330030320231313 is an apocalyptic number.

It is an amenable number.

330030320231313 is a deficient number, since it is larger than the sum of its proper divisors (183350177906467).

330030320231313 is a wasteful number, since it uses less digits than its factorization.

330030320231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820771967808 (or 2820771967805 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 330030320231313 its reverse (313132023030033), we get a palindrome (643162343261346).

The spelling of 330030320231313 in words is "three hundred thirty trillion, thirty billion, three hundred twenty million, two hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 117 2820771967789 8462315903367 25386947710101 36670035581257 110010106743771 330030320231313