Search a number
-
+
108878221089 = 361141012
BaseRepresentation
bin110010101100110100…
…1011100111100100001
3101102000220120201000000
41211121221130330201
53240440311033324
6122003514050213
710603050416001
oct1453151347441
9342026521000
10108878221089
11421a1a10000
1219127119969
13a361c921c1
1453ac216001
152c738ad9c9
hex1959a5cf21

108878221089 has 105 divisors (see below), whose sum is σ = 181361287795. Its totient is φ = 65333466000.

The previous prime is 108878221003. The next prime is 108878221121. The reversal of 108878221089 is 980122878801.

The square root of 108878221089 is 329967.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 104608905489 + 4269315600 = 323433^2 + 65340^2 .

It is not a de Polignac number, because 108878221089 - 211 = 108878219041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108878221189) by changing a digit.

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 104 ways as a sum of consecutive naturals, for example, 1078002139 + ... + 1078002239.

Almost surely, 2108878221089 is an apocalyptic number.

108878221089 is the 329967-th square number.

108878221089 is the 164984-th centered octagonal number.

It is an amenable number.

108878221089 is a deficient number, since it is larger than the sum of its proper divisors (72483066706).

108878221089 is an frugal number, since it uses more digits than its factorization.

108878221089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 108878221089 in words is "one hundred eight billion, eight hundred seventy-eight million, two hundred twenty-one thousand, eighty-nine".

Divisors: 1 3 9 11 27 33 81 99 101 121 243 297 303 363 729 891 909 1089 1111 1331 2673 2727 3267 3333 3993 8019 8181 9801 9999 10201 11979 12221 14641 24543 29403 29997 30603 35937 36663 43923 73629 88209 89991 91809 107811 109989 112211 131769 134431 269973 275427 323433 329967 336633 395307 403293 809919 826281 970299 989901 1009899 1185921 1209879 1234321 1478741 2478843 2969703 3029697 3557763 3629637 3702963 4436223 7436529 8909109 9089091 10673289 10888911 11108889 13308669 13577531 27267273 32666733 33326667 39926007 40732593 81801819 98000199 99980001 119778021 122197779 149352841 299940003 359334063 366593337 448058523 899820009 1078002189 1099780011 1344175569 3299340033 4032526707 9898020099 12097580121 36292740363 108878221089