Search a number
-
+
12100122010 = 256997172933
BaseRepresentation
bin10110100010011100…
…10011010110011010
31011020021111212221001
423101032103112122
5144240112401020
65320403335214
7605565224434
oct132116232632
934207455831
1012100122010
11514a226839
12241838150a
1311aab1ba12
1482b041654
154ac44b50a
hex2d139359a

12100122010 has 16 divisors (see below), whose sum is σ = 21783458376. Its totient is φ = 4839329088.

The previous prime is 12100121993. The next prime is 12100122053. The reversal of 12100122010 is 1022100121.

12100122010 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 4 ways, for example, as 8648442009 + 3451680001 = 92997^2 + 58751^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16497 + ... + 156436.

Almost surely, 212100122010 is an apocalyptic number.

12100122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12100122010 is a deficient number, since it is larger than the sum of its proper divisors (9683336366).

12100122010 is a wasteful number, since it uses less digits than its factorization.

12100122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179937.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12100122010 its reverse (1022100121), we get a palindrome (13122222131).

The spelling of 12100122010 in words is "twelve billion, one hundred million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 10 6997 13994 34985 69970 172933 345866 864665 1729330 1210012201 2420024402 6050061005 12100122010