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2100324013 is a prime number
BaseRepresentation
bin111110100110000…
…0110011010101101
312102101010111220021
41331030012122231
513300140332023
6544225122141
7103022313424
oct17514063255
95371114807
102100324013
1198863a577
124a7489351
132761a2498
1415cd322bb
15c45cd35d
hex7d3066ad

2100324013 has 2 divisors, whose sum is σ = 2100324014. Its totient is φ = 2100324012.

The previous prime is 2100323999. The next prime is 2100324053. The reversal of 2100324013 is 3104230012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1990765924 + 109558089 = 44618^2 + 10467^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100324013 - 213 = 2100315821 is a prime.

It is a super-2 number, since 2×21003240132 = 8822721919168848338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100324053) 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 as a sum of consecutive naturals, namely, 1050162006 + 1050162007.

It is an arithmetic number, because the mean of its divisors is an integer number (1050162007).

Almost surely, 22100324013 is an apocalyptic number.

It is an amenable number.

2100324013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100324013 is an equidigital number, since it uses as much as digits as its factorization.

2100324013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2100324013 is about 45829.2920848664. The cubic root of 2100324013 is about 1280.6450226000.

Adding to 2100324013 its reverse (3104230012), we get a palindrome (5204554025).

The spelling of 2100324013 in words is "two billion, one hundred million, three hundred twenty-four thousand, thirteen".