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971013667241 is a prime number
BaseRepresentation
bin11100010000101001110…
…11001011100110101001
310102211100121112011011002
432020110323023212221
5111402113444322431
62022024424444345
7130103423663162
oct16102473134651
93384317464132
10971013667241
113448939a0092
121382326196b5
1370748c17757
1434dd68a6769
151a3d1b1d3cb
hexe214ecb9a9

971013667241 has 2 divisors, whose sum is σ = 971013667242. Its totient is φ = 971013667240.

The previous prime is 971013667237. The next prime is 971013667243. The reversal of 971013667241 is 142766310179.

971013667241 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., 585869307241 + 385144360000 = 765421^2 + 620600^2 .

It is an emirp because it is prime and its reverse (142766310179) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 971013667241 - 22 = 971013667237 is a prime.

Together with 971013667243, 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 (971013667243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 485506833620 + 485506833621.

It is an arithmetic number, because the mean of its divisors is an integer number (485506833621).

Almost surely, 2971013667241 is an apocalyptic number.

It is an amenable number.

971013667241 is a deficient number, since it is larger than the sum of its proper divisors (1).

971013667241 is an equidigital number, since it uses as much as digits as its factorization.

971013667241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 971013667241 in words is "nine hundred seventy-one billion, thirteen million, six hundred sixty-seven thousand, two hundred forty-one".