Search a number
-
+
12100068 = 2232336113
BaseRepresentation
bin101110001010…
…000111100100
3211202202011200
4232022013210
511044200233
61111202500
7204564111
oct56120744
924682150
1012100068
116914a62
124076430
132678706
14186d908
1510e0313
hexb8a1e4

12100068 has 18 divisors (see below), whose sum is σ = 30586374. Its totient is φ = 4033344.

The previous prime is 12100063. The next prime is 12100069. The reversal of 12100068 is 86000121.

It can be written as a sum of positive squares in only one way, i.e., 8573184 + 3526884 = 2928^2 + 1878^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12100068.

It is not an unprimeable number, because it can be changed into a prime (12100063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168021 + ... + 168092.

It is an arithmetic number, because the mean of its divisors is an integer number (1699243).

Almost surely, 212100068 is an apocalyptic number.

12100068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12100068 is an abundant number, since it is smaller than the sum of its proper divisors (18486306).

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

12100068 is a wasteful number, since it uses less digits than its factorization.

12100068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336123 (or 336118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12100068 is about 3478.5152004843. The cubic root of 12100068 is about 229.5774725274.

Adding to 12100068 its reverse (86000121), we get a palindrome (98100189).

The spelling of 12100068 in words is "twelve million, one hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 336113 672226 1008339 1344452 2016678 3025017 4033356 6050034 12100068