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330313103312117 is a prime number
BaseRepresentation
bin100101100011010110000001…
…1001100000000010011110101
31121022112121212002202121010112
41023012230003030000103311
5321243322213421441432
63130303424514032405
7126401222424335042
oct11306540314002365
91538477762677115
10330313103312117
1196280000636142
1231068a85b78705
1311240513277893
145b7d34d2a41c9
15282c3063547b2
hex12c6b033004f5

330313103312117 has 2 divisors, whose sum is σ = 330313103312118. Its totient is φ = 330313103312116.

The previous prime is 330313103312113. The next prime is 330313103312317. The reversal of 330313103312117 is 711213301313033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313376594382916 + 16936508929201 = 17702446^2 + 4115399^2 .

It is a cyclic number.

It is not a de Polignac number, because 330313103312117 - 22 = 330313103312113 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330313103312113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165156551656058 + 165156551656059.

It is an arithmetic number, because the mean of its divisors is an integer number (165156551656059).

Almost surely, 2330313103312117 is an apocalyptic number.

It is an amenable number.

330313103312117 is a deficient number, since it is larger than the sum of its proper divisors (1).

330313103312117 is an equidigital number, since it uses as much as digits as its factorization.

330313103312117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 32.

The spelling of 330313103312117 in words is "three hundred thirty trillion, three hundred thirteen billion, one hundred three million, three hundred twelve thousand, one hundred seventeen".