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1001116273309 is a prime number
BaseRepresentation
bin11101001000101110010…
…11100000101010011101
310112201001111212222120221
432210113023200222131
5112400241231221214
62043523444041341
7132220410630115
oct16442713405235
93481044788527
101001116273309
11356631045619
12142033993251
13735356265a9
14366507c0045
151b094763e24
hexe9172e0a9d

1001116273309 has 2 divisors, whose sum is σ = 1001116273310. Its totient is φ = 1001116273308.

The previous prime is 1001116273303. The next prime is 1001116273343. The reversal of 1001116273309 is 9033726111001.

It is a happy number.

1001116273309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (1001116273343) can be obtained adding 1001116273309 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 555840329209 + 445275944100 = 745547^2 + 667290^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001116273309 - 27 = 1001116273181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001116273303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500558136654 + 500558136655.

It is an arithmetic number, because the mean of its divisors is an integer number (500558136655).

Almost surely, 21001116273309 is an apocalyptic number.

It is an amenable number.

1001116273309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001116273309 is an equidigital number, since it uses as much as digits as its factorization.

1001116273309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 1001116273309 in words is "one trillion, one billion, one hundred sixteen million, two hundred seventy-three thousand, three hundred nine".