Search a number
-
+
34025210105 = 552135333697
BaseRepresentation
bin11111101100000011…
…111000000011111001
310020211021102202120212
4133230003320003321
51024140423210410
623344142200505
72313114341165
oct375403700371
9106737382525
1034025210105
1113480386a57
126716b83135
1332932a2523
14190ac81ca5
15d421cdb05
hex7ec0f80f9

34025210105 has 16 divisors (see below), whose sum is σ = 40931268624. Its totient is φ = 27152885760.

The previous prime is 34025210077. The next prime is 34025210123. The reversal of 34025210105 is 50101252043.

It can be written as a sum of positive squares in 8 ways, for example, as 2079724816 + 31945485289 = 45604^2 + 178733^2 .

It is not a de Polignac number, because 34025210105 - 28 = 34025209849 is a prime.

It is a super-2 number, since 2×340252101052 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9201617 + ... + 9205313.

It is an arithmetic number, because the mean of its divisors is an integer number (2558204289).

Almost surely, 234025210105 is an apocalyptic number.

It is an amenable number.

34025210105 is a deficient number, since it is larger than the sum of its proper divisors (6906058519).

34025210105 is a wasteful number, since it uses less digits than its factorization.

34025210105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756.

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 34025210105 its reverse (50101252043), we get a palindrome (84126462148).

The spelling of 34025210105 in words is "thirty-four billion, twenty-five million, two hundred ten thousand, one hundred five".

Divisors: 1 5 521 2605 3533 3697 17665 18485 1840693 1926137 9203465 9630685 13061501 65307505 6805042021 34025210105