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11414114137 is a prime number
BaseRepresentation
bin10101010000101010…
…11000111101011001
31002110110200002001001
422220111120331121
5141334003123022
65124340025001
7552565240456
oct125025307531
932413602031
1011414114137
114927a73988
122266692161
1310cb96b2ba
147a3caa82d
1546c0deb27
hex2a8558f59

11414114137 has 2 divisors, whose sum is σ = 11414114138. Its totient is φ = 11414114136.

The previous prime is 11414114081. The next prime is 11414114149. The reversal of 11414114137 is 73141141411.

11414114137 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., 8052549696 + 3361564441 = 89736^2 + 57979^2 .

It is a cyclic number.

It is not a de Polignac number, because 11414114137 - 219 = 11413589849 is a prime.

It is not a weakly prime, because it can be changed into another prime (11414114167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5707057068 + 5707057069.

It is an arithmetic number, because the mean of its divisors is an integer number (5707057069).

Almost surely, 211414114137 is an apocalyptic number.

It is an amenable number.

11414114137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11414114137 is an equidigital number, since it uses as much as digits as its factorization.

11414114137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 28.

Adding to 11414114137 its reverse (73141141411), we get a palindrome (84555255548).

The spelling of 11414114137 in words is "eleven billion, four hundred fourteen million, one hundred fourteen thousand, one hundred thirty-seven".