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2130013 is a prime number
BaseRepresentation
bin1000001000000001011101
311000012211101
420020001131
51021130023
6113353101
724050644
oct10100135
94005741
102130013
111225346
12868791
13597682
143d635b
152c11ad
hex20805d

2130013 has 2 divisors, whose sum is σ = 2130014. Its totient is φ = 2130012.

The previous prime is 2130001. The next prime is 2130031. The reversal of 2130013 is 3100312.

Together with next prime (2130031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1968409 + 161604 = 1403^2 + 402^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2130013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2130613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065006 + 1065007.

It is an arithmetic number, because the mean of its divisors is an integer number (1065007).

22130013 is an apocalyptic number.

It is an amenable number.

2130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2130013 is an equidigital number, since it uses as much as digits as its factorization.

2130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2130013 is about 1459.4564056525. The cubic root of 2130013 is about 128.6650968813.

Adding to 2130013 its reverse (3100312), we get a palindrome (5230325).

Subtracting 2130013 from its reverse (3100312), we obtain a cube (970299 = 993).

The spelling of 2130013 in words is "two million, one hundred thirty thousand, thirteen".