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11001110111029 is a prime number
BaseRepresentation
bin1010000000010110010101…
…0000101010001100110101
31102221200210021112011100201
42200011211100222030311
52420220233142023104
635221501253040501
72213542523030533
oct240054520521465
942850707464321
1011001110111029
1135615a994a845
121298109626131
1361a528404c9c
142a0656b87153
1514126dd8b0a4
hexa016542a335

11001110111029 has 2 divisors, whose sum is σ = 11001110111030. Its totient is φ = 11001110111028.

The previous prime is 11001110111027. The next prime is 11001110111053. The reversal of 11001110111029 is 92011101110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10998343140625 + 2766970404 = 3316375^2 + 52602^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001110111029 - 21 = 11001110111027 is a prime.

Together with 11001110111027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 11001110110997 and 11001110111015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11001110111027) 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, 5500555055514 + 5500555055515.

It is an arithmetic number, because the mean of its divisors is an integer number (5500555055515).

Almost surely, 211001110111029 is an apocalyptic number.

It is an amenable number.

11001110111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001110111029 is an equidigital number, since it uses as much as digits as its factorization.

11001110111029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 11001110111029 in words is "eleven trillion, one billion, one hundred ten million, one hundred eleven thousand, twenty-nine".