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105344334341 is a prime number
BaseRepresentation
bin110001000011100000…
…0101111101000000101
3101001220121221122201122
41202013000233220011
53211221122144331
6120221114403325
710416350032121
oct1420700575005
9331817848648
10105344334341
1140749148644
12184bb730545
139c1aabc75c
145154b56581
152b1850b17b
hex188702fa05

105344334341 has 2 divisors, whose sum is σ = 105344334342. Its totient is φ = 105344334340.

The previous prime is 105344334317. The next prime is 105344334379. The reversal of 105344334341 is 143433443501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76980722116 + 28363612225 = 277454^2 + 168415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105344334341 is a prime.

It is a super-2 number, since 2×1053443343412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105344334541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52672167170 + 52672167171.

It is an arithmetic number, because the mean of its divisors is an integer number (52672167171).

Almost surely, 2105344334341 is an apocalyptic number.

It is an amenable number.

105344334341 is a deficient number, since it is larger than the sum of its proper divisors (1).

105344334341 is an equidigital number, since it uses as much as digits as its factorization.

105344334341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 105344334341 its reverse (143433443501), we get a palindrome (248777777842).

The spelling of 105344334341 in words is "one hundred five billion, three hundred forty-four million, three hundred thirty-four thousand, three hundred forty-one".