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108971300116 = 22726130192
BaseRepresentation
bin110010101111100110…
…0100001010100010100
3101102021101201121102101
41211133030201110110
53241133123100431
6122021041051444
710605260524300
oct1453714412424
9342241647371
10108971300116
114223a504718
1219152326b84
13a378351753
1453ba724d00
152c7bb47961
hex195f321514

108971300116 has 54 divisors (see below), whose sum is σ = 225545771178. Its totient is φ = 45921163680.

The previous prime is 108971300107. The next prime is 108971300117. The reversal of 108971300116 is 611003179801.

It can be written as a sum of positive squares in only one way, i.e., 64310931216 + 44660368900 = 253596^2 + 211330^2 .

It is a super-2 number, since 2×1089713001162 (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 (108971300117) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 36093655 + ... + 36096673.

Almost surely, 2108971300116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108971300116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112772885589).

108971300116 is an abundant number, since it is smaller than the sum of its proper divisors (116574471062).

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

108971300116 is an frugal number, since it uses more digits than its factorization.

108971300116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

Adding to 108971300116 its reverse (611003179801), we get a palindrome (719974479917).

The spelling of 108971300116 in words is "one hundred eight billion, nine hundred seventy-one million, three hundred thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 3019 5978 6038 11956 12076 21133 42266 84532 147931 184159 295862 368318 591724 736636 1289113 2578226 5156452 9023791 9114361 18047582 18228722 36095164 36457444 63800527 127601054 255202108 446603689 555976021 893207378 1111952042 1786414756 2223904084 3891832147 7783664294 15567328588 27242825029 54485650058 108971300116