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12666316605301 is a prime number
BaseRepresentation
bin1011100001010001101101…
…0011010100011101110101
31122211212222101022202112101
42320110123103110131311
53130011104022332201
642534454151222101
72445053063503102
oct270243323243565
948755871282471
1012666316605301
114043833571517
121506997977931
1370b575636038
1431b0a55bbaa9
1516e72ed17d01
hexb851b4d4775

12666316605301 has 2 divisors, whose sum is σ = 12666316605302. Its totient is φ = 12666316605300.

The previous prime is 12666316605281. The next prime is 12666316605311. The reversal of 12666316605301 is 10350661366621.

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., 8597644366276 + 4068672239025 = 2932174^2 + 2017095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12666316605301 is a prime.

It is a super-3 number, since 3×126663166053013 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12666316605311) 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, 6333158302650 + 6333158302651.

It is an arithmetic number, because the mean of its divisors is an integer number (6333158302651).

Almost surely, 212666316605301 is an apocalyptic number.

It is an amenable number.

12666316605301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12666316605301 is an equidigital number, since it uses as much as digits as its factorization.

12666316605301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 12666316605301 in words is "twelve trillion, six hundred sixty-six billion, three hundred sixteen million, six hundred five thousand, three hundred one".