Search a number
-
+
105004122306 = 23232718813187
BaseRepresentation
bin110000111001010111…
…0111100000011000010
3101001000220210002112220
41201302232330003002
53210022023403211
6120123242431510
710405046212236
oct1416256740302
9331026702486
10105004122306
11405940a9276
1218425802596
139b95482765
1451218b65c6
152ae8707806
hex1872bbc0c2

105004122306 has 64 divisors (see below), whose sum is σ = 220266418176. Its totient is φ = 33307718400.

The previous prime is 105004122299. The next prime is 105004122317. The reversal of 105004122306 is 603221400501.

It is a super-2 number, since 2×1050041223062 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32946045 + ... + 32949231.

It is an arithmetic number, because the mean of its divisors is an integer number (3441662784).

Almost surely, 2105004122306 is an apocalyptic number.

105004122306 is an abundant number, since it is smaller than the sum of its proper divisors (115262295870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105004122306 is a wasteful number, since it uses less digits than its factorization.

105004122306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 105004122306 its reverse (603221400501), we get a palindrome (708225522807).

The spelling of 105004122306 in words is "one hundred five billion, four million, one hundred twenty-two thousand, three hundred six".

Divisors: 1 2 3 6 23 46 69 138 271 542 813 881 1626 1762 2643 3187 5286 6233 6374 9561 12466 18699 19122 20263 37398 40526 60789 73301 121578 146602 219903 238751 439806 477502 716253 863677 1432506 1727354 2591031 2807747 5182062 5491273 5615494 8423241 10982546 16473819 16846482 19864571 32947638 39729142 59593713 64578181 119187426 129156362 193734543 387469086 760899437 1521798874 2282698311 4565396622 17500687051 35001374102 52502061153 105004122306