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330342131417 is a prime number
BaseRepresentation
bin1001100111010011110…
…11001110011011011001
31011120200010000000012012
410303221323032123121
520403020041201132
6411431310155305
732603120534024
oct4635173163331
91146603000165
10330342131417
11118108580771
1254032ab2b35
13251c705351c
1411dbabaa1bb
1588d636a0b2
hex4ce9ece6d9

330342131417 has 2 divisors, whose sum is σ = 330342131418. Its totient is φ = 330342131416.

The previous prime is 330342131341. The next prime is 330342131429. The reversal of 330342131417 is 714131243033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220051057216 + 110291074201 = 469096^2 + 332101^2 .

It is a cyclic number.

It is not a de Polignac number, because 330342131417 - 212 = 330342127321 is a prime.

It is not a weakly prime, because it can be changed into another prime (330342136417) 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, 165171065708 + 165171065709.

It is an arithmetic number, because the mean of its divisors is an integer number (165171065709).

Almost surely, 2330342131417 is an apocalyptic number.

It is an amenable number.

330342131417 is a deficient number, since it is larger than the sum of its proper divisors (1).

330342131417 is an equidigital number, since it uses as much as digits as its factorization.

330342131417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 330342131417 in words is "three hundred thirty billion, three hundred forty-two million, one hundred thirty-one thousand, four hundred seventeen".