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105430043381 = 138991123633
BaseRepresentation
bin110001000110000011…
…1101100101011110101
3101002010121020010102112
41202030013230223311
53211410042342011
6120233415420405
710421440403525
oct1421407545365
9332117203375
10105430043381
1140792569063
1218524384705
139c3279b570
1451622a7685
152b20cdb58b
hex188c1ecaf5

105430043381 has 8 divisors (see below), whose sum is σ = 114815778840. Its totient is φ = 96226555392.

The previous prime is 105430043377. The next prime is 105430043401. The reversal of 105430043381 is 183340034501.

It can be written as a sum of positive squares in 4 ways, for example, as 3790864900 + 101639178481 = 61570^2 + 318809^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105430043381 - 22 = 105430043377 is a prime.

It is a super-2 number, since 2×1054300433812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105430043351) 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 in 7 ways as a sum of consecutive naturals, for example, 45560660 + ... + 45562973.

It is an arithmetic number, because the mean of its divisors is an integer number (14351972355).

Almost surely, 2105430043381 is an apocalyptic number.

It is an amenable number.

105430043381 is a deficient number, since it is larger than the sum of its proper divisors (9385735459).

105430043381 is an equidigital number, since it uses as much as digits as its factorization.

105430043381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91123735.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 105430043381 its reverse (183340034501), we get a palindrome (288770077882).

The spelling of 105430043381 in words is "one hundred five billion, four hundred thirty million, forty-three thousand, three hundred eighty-one".

Divisors: 1 13 89 1157 91123633 1184607229 8110003337 105430043381