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91100010013 is a prime number
BaseRepresentation
bin101010011010111111…
…0111101011000011101
322201010220202000011221
41110311332331120131
52443033100310023
6105503433213341
76403354210555
oct1246576753035
9281126660157
1091100010013
11356a9642981
12157a5261251
13878a9a768c
1445a3040165
152582c1585d
hex1535fbd61d

91100010013 has 2 divisors, whose sum is σ = 91100010014. Its totient is φ = 91100010012.

The previous prime is 91100009999. The next prime is 91100010047. The reversal of 91100010013 is 31001000119.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64425607684 + 26674402329 = 253822^2 + 163323^2 .

It is an emirp because it is prime and its reverse (31001000119) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91100010013 - 25 = 91100009981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91100010083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45550005006 + 45550005007.

It is an arithmetic number, because the mean of its divisors is an integer number (45550005007).

Almost surely, 291100010013 is an apocalyptic number.

It is an amenable number.

91100010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

91100010013 is an equidigital number, since it uses as much as digits as its factorization.

91100010013 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 16.

The spelling of 91100010013 in words is "ninety-one billion, one hundred million, ten thousand, thirteen".