Search a number
-
+
121106808 = 233213912101
BaseRepresentation
bin1110011011111…
…11000101111000
322102212212022100
413031333011320
5222000404213
620003423400
73000251034
oct715770570
9272785270
10121106808
11623a8379
1234684b60
131c123944
14121271c4
15a973773
hex737f178

121106808 has 48 divisors (see below), whose sum is σ = 330384600. Its totient is φ = 40075200.

The previous prime is 121106803. The next prime is 121106831. The reversal of 121106808 is 808601121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121106803) 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 11 ways as a sum of consecutive naturals, for example, 3958 + ... + 16058.

Almost surely, 2121106808 is an apocalyptic number.

121106808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121106808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165192300).

121106808 is an abundant number, since it is smaller than the sum of its proper divisors (209277792).

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

121106808 is a wasteful number, since it uses less digits than its factorization.

121106808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12252 (or 12245 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 121106808 is about 11004.8538381934. The cubic root of 121106808 is about 494.7542336758.

Adding to 121106808 its reverse (808601121), we get a palindrome (929707929).

It can be divided in two parts, 121 and 106808, that added together give a square (106929 = 3272).

The spelling of 121106808 in words is "one hundred twenty-one million, one hundred six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 10008 12101 24202 36303 48404 72606 96808 108909 145212 217818 290424 435636 871272 1682039 3364078 5046117 6728156 10092234 13456312 15138351 20184468 30276702 40368936 60553404 121106808