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105412126181 is a prime number
BaseRepresentation
bin110001000101100001…
…1010110010111100101
3101002002100111211122112
41202023003112113211
53211341001014211
6120231535410405
710421132201015
oct1421303262745
9332070454575
10105412126181
114078344065a
121851a383a05
139c2bb6717b
14515db61c45
152b1e44c88b
hex188b0d65e5

105412126181 has 2 divisors, whose sum is σ = 105412126182. Its totient is φ = 105412126180.

The previous prime is 105412126163. The next prime is 105412126249. The reversal of 105412126181 is 181621214501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102533803681 + 2878322500 = 320209^2 + 53650^2 .

It is a cyclic number.

It is not a de Polignac number, because 105412126181 - 210 = 105412125157 is a prime.

It is a super-2 number, since 2×1054121261812 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105412126111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706063090 + 52706063091.

It is an arithmetic number, because the mean of its divisors is an integer number (52706063091).

Almost surely, 2105412126181 is an apocalyptic number.

It is an amenable number.

105412126181 is a deficient number, since it is larger than the sum of its proper divisors (1).

105412126181 is an equidigital number, since it uses as much as digits as its factorization.

105412126181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 32.

The spelling of 105412126181 in words is "one hundred five billion, four hundred twelve million, one hundred twenty-six thousand, one hundred eighty-one".