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105342601341 = 3194873794899
BaseRepresentation
bin110001000011011101…
…0001000100001111101
3101001220111200121111110
41202012322020201331
53211220201220331
6120221013312233
710416326223465
oct1420672104175
9331814617443
10105342601341
114074817460a
12184bb035679
139c1a633a03
145154824ba5
152b182b7946
hex1886e8887d

105342601341 has 16 divisors (see below), whose sum is σ = 148152896000. Its totient is φ = 66395535408.

The previous prime is 105342601313. The next prime is 105342601367. The reversal of 105342601341 is 143106243501.

It is not a de Polignac number, because 105342601341 - 27 = 105342601213 is a prime.

It is a super-2 number, since 2×1053426013412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105342601299 and 105342601308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342601141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1869691 + ... + 1925208.

It is an arithmetic number, because the mean of its divisors is an integer number (9259556000).

Almost surely, 2105342601341 is an apocalyptic number.

It is an amenable number.

105342601341 is a deficient number, since it is larger than the sum of its proper divisors (42810294659).

105342601341 is a wasteful number, since it uses less digits than its factorization.

105342601341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795408.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 105342601341 its reverse (143106243501), we get a palindrome (248448844842).

The spelling of 105342601341 in words is "one hundred five billion, three hundred forty-two million, six hundred one thousand, three hundred forty-one".

Divisors: 1 3 19 57 487 1461 9253 27759 3794899 11384697 72103081 216309243 1848115813 5544347439 35114200447 105342601341