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12124530013 is a prime number
BaseRepresentation
bin10110100101010110…
…11010010101011101
31011021222102221102011
423102223122111131
5144312334430023
65323034431221
7606312543001
oct132253322535
934258387364
1012124530013
115161a87942
122424592511
1311b2bb661b
14830396701
154ae66d50d
hex2d2ada55d

12124530013 has 2 divisors, whose sum is σ = 12124530014. Its totient is φ = 12124530012.

The previous prime is 12124529993. The next prime is 12124530023. The reversal of 12124530013 is 31003542121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12099560004 + 24970009 = 109998^2 + 4997^2 .

It is a cyclic number.

It is not a de Polignac number, because 12124530013 - 213 = 12124521821 is a prime.

It is a super-2 number, since 2×121245300132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12124530023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6062265006 + 6062265007.

It is an arithmetic number, because the mean of its divisors is an integer number (6062265007).

Almost surely, 212124530013 is an apocalyptic number.

It is an amenable number.

12124530013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12124530013 is an equidigital number, since it uses as much as digits as its factorization.

12124530013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 12124530013 in words is "twelve billion, one hundred twenty-four million, five hundred thirty thousand, thirteen".