Search a number
-
+
11121101000129 is a prime number
BaseRepresentation
bin1010000111010101010101…
…0001100100110111000001
31110101011111122112220001102
42201311111101210313001
52424202003324001004
635352544022144145
72225321151535541
oct241652521446701
943334448486042
1011121101000129
1135a848365179a
1212b7416282055
1362893b74c393
142a639abdb321
1514444314211e
hexa1d55464dc1

11121101000129 has 2 divisors, whose sum is σ = 11121101000130. Its totient is φ = 11121101000128.

The previous prime is 11121101000077. The next prime is 11121101000159. The reversal of 11121101000129 is 92100010112111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6929450788225 + 4191650211904 = 2632385^2 + 2047352^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121101000129 - 220 = 11121099951553 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11121101000129.

It is not a weakly prime, because it can be changed into another prime (11121101000159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560550500064 + 5560550500065.

It is an arithmetic number, because the mean of its divisors is an integer number (5560550500065).

Almost surely, 211121101000129 is an apocalyptic number.

It is an amenable number.

11121101000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121101000129 is an equidigital number, since it uses as much as digits as its factorization.

11121101000129 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 11121101000129 in words is "eleven trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-nine", and thus it is an aban number.