Search a number
-
+
109091819100 = 223521133058127
BaseRepresentation
bin110010110011001100…
…0010000111001011100
3101102120210111121101110
41211212120100321130
53241410001202400
6122041024142020
710611253106505
oct1454630207134
9342523447343
10109091819100
11422a1540390
1219186767910
13a3972ca964
1453cc737bac
152c87501e50
hex1966610e5c

109091819100 has 72 divisors (see below), whose sum is σ = 344333461248. Its totient is φ = 26446500800.

The previous prime is 109091819099. The next prime is 109091819131. The reversal of 109091819100 is 1918190901.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16525764 + ... + 16532363.

It is an arithmetic number, because the mean of its divisors is an integer number (4782409184).

Almost surely, 2109091819100 is an apocalyptic number.

109091819100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109091819100 is an abundant number, since it is smaller than the sum of its proper divisors (235241642148).

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

109091819100 is a wasteful number, since it uses less digits than its factorization.

109091819100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33058155 (or 33058148 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 39.

The spelling of 109091819100 in words is "one hundred nine billion, ninety-one million, eight hundred nineteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 33058127 66116254 99174381 132232508 165290635 198348762 330581270 363639397 396697524 495871905 661162540 727278794 826453175 991743810 1090918191 1454557588 1652906350 1818196985 1983487620 2181836382 2479359525 3305812700 3636393970 4363672764 4958719050 5454590955 7272787940 9090984925 9917438100 10909181910 18181969850 21818363820 27272954775 36363939700 54545909550 109091819100