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11000011100093 is a prime number
BaseRepresentation
bin1010000000010010001111…
…0000010000111110111101
31102221120221200112121202222
42200010203300100332331
52420211010320200333
635221200233255125
72213503346424161
oct240044360207675
942846850477688
1011000011100093
113561095550644
121297a615644a5
1361a3b180c562
142a0590c24ca1
1514120764d298
hexa0123c10fbd

11000011100093 has 2 divisors, whose sum is σ = 11000011100094. Its totient is φ = 11000011100092.

The previous prime is 11000011100087. The next prime is 11000011100129. The reversal of 11000011100093 is 39000111000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6319979797849 + 4680031302244 = 2513957^2 + 2163338^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000011100093 - 238 = 10725133193149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000011100083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500005550046 + 5500005550047.

It is an arithmetic number, because the mean of its divisors is an integer number (5500005550047).

Almost surely, 211000011100093 is an apocalyptic number.

It is an amenable number.

11000011100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000011100093 is an equidigital number, since it uses as much as digits as its factorization.

11000011100093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 17.

The spelling of 11000011100093 in words is "eleven trillion, eleven million, one hundred thousand, ninety-three".