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2123124013 is a prime number
BaseRepresentation
bin111111010001100…
…0100110100101101
312110222000212121201
41332203010310231
513322004432023
6550401525501
7103420153633
oct17643046455
95428025551
102123124013
1199a4a254a
124b3043891
1327ab261ca
14161d89353
15c65d3bad
hex7e8c4d2d

2123124013 has 2 divisors, whose sum is σ = 2123124014. Its totient is φ = 2123124012.

The previous prime is 2123123987. The next prime is 2123124041. The reversal of 2123124013 is 3104213212.

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., 1907680329 + 215443684 = 43677^2 + 14678^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123124013 - 217 = 2122992941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123124053) 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, 1061562006 + 1061562007.

It is an arithmetic number, because the mean of its divisors is an integer number (1061562007).

Almost surely, 22123124013 is an apocalyptic number.

It is an amenable number.

2123124013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123124013 is an equidigital number, since it uses as much as digits as its factorization.

2123124013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2123124013 is about 46077.3698576644. The cubic root of 2123124013 is about 1285.2623552496.

Adding to 2123124013 its reverse (3104213212), we get a palindrome (5227337225).

The spelling of 2123124013 in words is "two billion, one hundred twenty-three million, one hundred twenty-four thousand, thirteen".