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330313101120293 is a prime number
BaseRepresentation
bin100101100011010110000001…
…1000011101001001100100101
31121022112121211221122020111212
41023012230003003221030211
5321243322212341322133
63130303424355041205
7126401222366605634
oct11306540303511445
91538477757566455
10330313101120293
119627aaaa379415
1231068a852a0205
131124051298b045
145b7d34cc9351b
15282c306070148
hex12c6b030e9325

330313101120293 has 2 divisors, whose sum is σ = 330313101120294. Its totient is φ = 330313101120292.

The previous prime is 330313101120173. The next prime is 330313101120311. The reversal of 330313101120293 is 392021101313033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269388472911364 + 60924628208929 = 16413058^2 + 7805423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330313101120293 is a prime.

It is a super-3 number, since 3×3303131011202933 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330313101122293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165156550560146 + 165156550560147.

It is an arithmetic number, because the mean of its divisors is an integer number (165156550560147).

Almost surely, 2330313101120293 is an apocalyptic number.

It is an amenable number.

330313101120293 is a deficient number, since it is larger than the sum of its proper divisors (1).

330313101120293 is an equidigital number, since it uses as much as digits as its factorization.

330313101120293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 330313101120293 in words is "three hundred thirty trillion, three hundred thirteen billion, one hundred one million, one hundred twenty thousand, two hundred ninety-three".