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12973114516081 is a prime number
BaseRepresentation
bin1011110011001000100111…
…1000011110001001110001
31200221012212122201102202211
42330302021320132021301
53200022414304003311
643331433323212121
72506163604636346
oct274621170361161
950835778642684
1012973114516081
114151959a327a5
121556339977041
13731489931655
1432bc8b4b27cd
151776d91c2821
hexbcc89e1e271

12973114516081 has 2 divisors, whose sum is σ = 12973114516082. Its totient is φ = 12973114516080.

The previous prime is 12973114516027. The next prime is 12973114516091. The reversal of 12973114516081 is 18061541137921.

12973114516081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9480641274225 + 3492473241856 = 3079065^2 + 1868816^2 .

It is a cyclic number.

It is not a de Polignac number, because 12973114516081 - 215 = 12973114483313 is a prime.

It is a super-2 number, since 2×129731145160812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12973114516001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6486557258040 + 6486557258041.

It is an arithmetic number, because the mean of its divisors is an integer number (6486557258041).

It is a 1-persistent number, because it is pandigital, but 2⋅12973114516081 = 25946229032162 is not.

Almost surely, 212973114516081 is an apocalyptic number.

It is an amenable number.

12973114516081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12973114516081 is an equidigital number, since it uses as much as digits as its factorization.

12973114516081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 49.

The spelling of 12973114516081 in words is "twelve trillion, nine hundred seventy-three billion, one hundred fourteen million, five hundred sixteen thousand, eighty-one".