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1001110011149 is a prime number
BaseRepresentation
bin11101001000101101100…
…11100111110100001101
310112201001002002211112002
432210112303213310031
5112400233130324044
62043523101522045
7132220303456103
oct16442663476415
93481032084462
101001110011149
11356628558786
12142031873325
1373534243181
143664da2dc73
151b093e2874e
hexe916ce7d0d

1001110011149 has 2 divisors, whose sum is σ = 1001110011150. Its totient is φ = 1001110011148.

The previous prime is 1001110011091. The next prime is 1001110011151. The reversal of 1001110011149 is 9411100111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 962027488900 + 39082522249 = 980830^2 + 197693^2 .

It is an emirp because it is prime and its reverse (9411100111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001110011149 - 216 = 1001109945613 is a prime.

Together with 1001110011151, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001110011149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001110011949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555005574 + 500555005575.

It is an arithmetic number, because the mean of its divisors is an integer number (500555005575).

Almost surely, 21001110011149 is an apocalyptic number.

It is an amenable number.

1001110011149 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001110011149 is an equidigital number, since it uses as much as digits as its factorization.

1001110011149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 1001110011149 in words is "one trillion, one billion, one hundred ten million, eleven thousand, one hundred forty-nine".