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20101110109 is a prime number
BaseRepresentation
bin10010101110000111…
…101001100101011101
31220212212210012020121
4102232013221211131
5312131341010414
613122340314541
71311060421363
oct225607514535
956785705217
1020101110109
1185856095a3
123a8b9a2a51
131b846197c2
14d898c5633
157c9a8e724
hex4ae1e995d

20101110109 has 2 divisors, whose sum is σ = 20101110110. Its totient is φ = 20101110108.

The previous prime is 20101110101. The next prime is 20101110121. The reversal of 20101110109 is 90101110102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19251562500 + 849547609 = 138750^2 + 29147^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101110109 - 23 = 20101110101 is a prime.

It is a super-2 number, since 2×201011101092 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101110092 and 20101110101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101110101) 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, 10050555054 + 10050555055.

It is an arithmetic number, because the mean of its divisors is an integer number (10050555055).

Almost surely, 220101110109 is an apocalyptic number.

It is an amenable number.

20101110109 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101110109 is an equidigital number, since it uses as much as digits as its factorization.

20101110109 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 16.

The spelling of 20101110109 in words is "twenty billion, one hundred one million, one hundred ten thousand, one hundred nine".