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330034321333397 is a prime number
BaseRepresentation
bin100101100001010100001101…
…0011111001001110010010101
31121021112222021022021201201102
41023002220122133021302111
5321224240242230132042
63125531401340435445
7126342123101532632
oct11302503237116225
91537488238251642
10330034321333397
119618285146331a
1231022a42548b85
1311220145287965
145b6da64109189
152824e3b80bb32
hex12c2a1a7c9c95

330034321333397 has 2 divisors, whose sum is σ = 330034321333398. Its totient is φ = 330034321333396.

The previous prime is 330034321333393. The next prime is 330034321333469. The reversal of 330034321333397 is 793333123430033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 280698995597476 + 49335325735921 = 16754074^2 + 7023911^2 .

It is a cyclic number.

It is not a de Polignac number, because 330034321333397 - 22 = 330034321333393 is a prime.

It is a super-2 number, since 2×3300343213333972 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330034321333393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165017160666698 + 165017160666699.

It is an arithmetic number, because the mean of its divisors is an integer number (165017160666699).

Almost surely, 2330034321333397 is an apocalyptic number.

It is an amenable number.

330034321333397 is a deficient number, since it is larger than the sum of its proper divisors (1).

330034321333397 is an equidigital number, since it uses as much as digits as its factorization.

330034321333397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3306744, while the sum is 47.

The spelling of 330034321333397 in words is "three hundred thirty trillion, thirty-four billion, three hundred twenty-one million, three hundred thirty-three thousand, three hundred ninety-seven".