Search a number
-
+
105205020335 = 556337373009
BaseRepresentation
bin110000111111010110…
…1010011011010101111
3101001112220210202211122
41201332231103122233
53210424441122320
6120155220411155
710413035626622
oct1417655233257
9331486722748
10105205020335
11406875449a8
1218480b46abb
139bc7c9272c
14514044ddb9
152b0b18cd25
hex187eb536af

105205020335 has 8 divisors (see below), whose sum is σ = 126470265840. Its totient is φ = 84014521984.

The previous prime is 105205020331. The next prime is 105205020391. The reversal of 105205020335 is 533020502501.

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 105205020335 - 22 = 105205020331 is a prime.

It is a super-2 number, since 2×1052050203352 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105205020331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18683690 + ... + 18689319.

It is an arithmetic number, because the mean of its divisors is an integer number (15808783230).

Almost surely, 2105205020335 is an apocalyptic number.

105205020335 is a deficient number, since it is larger than the sum of its proper divisors (21265245505).

105205020335 is an equidigital number, since it uses as much as digits as its factorization.

105205020335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37373577.

The product of its (nonzero) digits is 4500, while the sum is 26.

Adding to 105205020335 its reverse (533020502501), we get a palindrome (638225522836).

The spelling of 105205020335 in words is "one hundred five billion, two hundred five million, twenty thousand, three hundred thirty-five".

Divisors: 1 5 563 2815 37373009 186865045 21041004067 105205020335