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331668114497 is a prime number
BaseRepresentation
bin1001101001110001111…
…01011100110001000001
31011201002112001221000122
410310320331130301001
520413224014130442
6412211034430025
732651021312636
oct4647075346101
91151075057018
10331668114497
11118729005455
1254342b92315
1325378987cb5
14120a4d3218d
15896298ddd2
hex4d38f5cc41

331668114497 has 2 divisors, whose sum is σ = 331668114498. Its totient is φ = 331668114496.

The previous prime is 331668114461. The next prime is 331668114499. The reversal of 331668114497 is 794411866133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175434484801 + 156233629696 = 418849^2 + 395264^2 .

It is a cyclic number.

It is not a de Polignac number, because 331668114497 - 212 = 331668110401 is a prime.

It is a super-2 number, since 2×3316681144972 (a number of 24 digits) contains 22 as substring.

Together with 331668114499, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (331668114499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165834057248 + 165834057249.

It is an arithmetic number, because the mean of its divisors is an integer number (165834057249).

Almost surely, 2331668114497 is an apocalyptic number.

It is an amenable number.

331668114497 is a deficient number, since it is larger than the sum of its proper divisors (1).

331668114497 is an equidigital number, since it uses as much as digits as its factorization.

331668114497 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2612736, while the sum is 53.

The spelling of 331668114497 in words is "three hundred thirty-one billion, six hundred sixty-eight million, one hundred fourteen thousand, four hundred ninety-seven".