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11331101122109 is a prime number
BaseRepresentation
bin1010010011100011101001…
…0000011101111000111101
31111010020112220211101222222
42210320322100131320331
52441122043341401414
640033234101415125
72246434151243246
oct244707220357075
944106486741888
1011331101122109
11367954720060a
121330062a0a4a5
1364269779c3a2
142b25dd073ccd
15149b3449a68e
hexa4e3a41de3d

11331101122109 has 2 divisors, whose sum is σ = 11331101122110. Its totient is φ = 11331101122108.

The previous prime is 11331101122093. The next prime is 11331101122267. The reversal of 11331101122109 is 90122110113311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10821119465209 + 509981656900 = 3289547^2 + 714130^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331101122109 - 24 = 11331101122093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331101127109) 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, 5665550561054 + 5665550561055.

It is an arithmetic number, because the mean of its divisors is an integer number (5665550561055).

Almost surely, 211331101122109 is an apocalyptic number.

It is an amenable number.

11331101122109 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331101122109 is an equidigital number, since it uses as much as digits as its factorization.

11331101122109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 11331101122109 in words is "eleven trillion, three hundred thirty-one billion, one hundred one million, one hundred twenty-two thousand, one hundred nine".