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11000110011089 is a prime number
BaseRepresentation
bin1010000000010010100110…
…1001100101001011010001
31102221121012120122211011012
42200010221221211023101
52420211211130323324
635221214125300305
72213505660232343
oct240045151451321
942847176584135
1011000110011089
113561136368971
121297a8a704695
1361a3c9161484
142a05a0011293
1514121118a20e
hexa0129a652d1

11000110011089 has 2 divisors, whose sum is σ = 11000110011090. Its totient is φ = 11000110011088.

The previous prime is 11000110011029. The next prime is 11000110011133. The reversal of 11000110011089 is 98011001100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8046895257025 + 2953214754064 = 2836705^2 + 1718492^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000110011089 - 28 = 11000110010833 is a prime.

It is not a weakly prime, because it can be changed into another prime (11000110011029) 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, 5500055005544 + 5500055005545.

It is an arithmetic number, because the mean of its divisors is an integer number (5500055005545).

Almost surely, 211000110011089 is an apocalyptic number.

It is an amenable number.

11000110011089 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000110011089 is an equidigital number, since it uses as much as digits as its factorization.

11000110011089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 11000110011089 in words is "eleven trillion, one hundred ten million, eleven thousand, eighty-nine".