Search a number
-
+
10118108 = 22721113192
BaseRepresentation
bin100110100110…
…001111011100
3201001001102202
4212212033130
510042234413
61000511032
7152000600
oct46461734
921031382
1010118108
115790980
12347b478
132133560
1414b5500
15d4ce58
hex9a63dc

10118108 has 108 divisors (see below), whose sum is σ = 25539192. Its totient is φ = 3447360.

The previous prime is 10118107. The next prime is 10118123. The reversal of 10118108 is 80181101.

It is a super-2 number, since 2×101181082 = 204752218999328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10118108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10118107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532523 + ... + 532541.

It is an arithmetic number, because the mean of its divisors is an integer number (236474).

Almost surely, 210118108 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 10118108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769596).

10118108 is an abundant number, since it is smaller than the sum of its proper divisors (15421084).

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

10118108 is a wasteful number, since it uses less digits than its factorization.

10118108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

The square root of 10118108 is about 3180.8973576650. The cubic root of 10118108 is about 216.2883380634.

Adding to 10118108 its reverse (80181101), we get a palindrome (90299209).

It can be divided in two parts, 1011 and 8108, that added together give a palindrome (9119).

The spelling of 10118108 in words is "ten million, one hundred eighteen thousand, one hundred eight".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 49 52 76 77 91 98 133 143 154 182 196 209 247 266 286 308 361 364 418 494 532 539 572 637 722 836 931 988 1001 1078 1274 1444 1463 1729 1862 2002 2156 2527 2548 2717 2926 3458 3724 3971 4004 4693 5054 5434 5852 6916 7007 7942 9386 10108 10241 10868 12103 14014 15884 17689 18772 19019 20482 24206 27797 28028 32851 35378 38038 40964 48412 51623 55594 65702 70756 76076 103246 111188 131404 133133 194579 206492 229957 266266 361361 389158 459914 532532 722722 778316 919828 1445444 2529527 5059054 10118108