Search a number
-
+
104234441322110 = 251117557100072429
BaseRepresentation
bin10111101100110011111000…
…110110010010111001111110
3111200001201022102201100122212
4113230303320312102321332
5102130234113434301420
61005404350303540422
730645455424412241
oct2754637066227176
9450051272640585
10104234441322110
113023763a816010
12b8353bb5ba712
13462135b7c6188
141ba4d8c471258
15c0b59c6c53c5
hex5eccf8d92e7e

104234441322110 has 64 divisors (see below), whose sum is σ = 217107537174720. Its totient is φ = 35609772779520.

The previous prime is 104234441322097. The next prime is 104234441322113. The reversal of 104234441322110 is 11223144432401.

104234441322110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104234441322113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48994625 + ... + 51077804.

It is an arithmetic number, because the mean of its divisors is an integer number (3392305268355).

Almost surely, 2104234441322110 is an apocalyptic number.

104234441322110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104234441322110 is an abundant number, since it is smaller than the sum of its proper divisors (112873095852610).

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

104234441322110 is a wasteful number, since it uses less digits than its factorization.

104234441322110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100073021.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 104234441322110 its reverse (11223144432401), we get a palindrome (115457585754511).

The spelling of 104234441322110 in words is "one hundred four trillion, two hundred thirty-four billion, four hundred forty-one million, three hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 374 557 935 1114 1870 2785 5570 6127 9469 12254 18938 30635 47345 61270 94690 104159 208318 520795 1041590 100072429 200144858 500362145 1000724290 1100796719 1701231293 2201593438 3402462586 5503983595 8506156465 11007967190 17012312930 18713544223 37427088446 55740342953 93567721115 111480685906 187135442230 278701714765 557403429530 613143772483 947585830201 1226287544966 1895171660402 3065718862415 4737929151005 6131437724830 9475858302010 10423444132211 20846888264422 52117220661055 104234441322110