Search a number
-
+
12122003101 = 13273982573
BaseRepresentation
bin10110100101000011…
…10001011010011101
31011021210200120010211
423102201301122131
5144311213044401
65322504332421
7606252216625
oct132241613235
934253616124
1012122003101
11516061138a
122423774111
1311b2510400
1482dcd9885
154ae31e951
hex2d287169d

12122003101 has 12 divisors (see below), whose sum is σ = 13306017108. Its totient is φ = 11036248704.

The previous prime is 12122003087. The next prime is 12122003123. The reversal of 12122003101 is 10130022121.

12122003101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2282355076 + 9839648025 = 47774^2 + 99195^2 .

It is not a de Polignac number, because 12122003101 - 231 = 9974519453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122003171) 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, 478950 + ... + 503623.

It is an arithmetic number, because the mean of its divisors is an integer number (1108834759).

Almost surely, 212122003101 is an apocalyptic number.

It is an amenable number.

12122003101 is a deficient number, since it is larger than the sum of its proper divisors (1184014007).

12122003101 is an equidigital number, since it uses as much as digits as its factorization.

12122003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982672 (or 982659 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12122003101 its reverse (10130022121), we get a palindrome (22252025222).

The spelling of 12122003101 in words is "twelve billion, one hundred twenty-two million, three thousand, one hundred one".

Divisors: 1 13 73 169 949 12337 982573 12773449 71727829 166054837 932461777 12122003101