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12124120313 is a prime number
BaseRepresentation
bin10110100101010011…
…10110010011111001
31011021221200010102002
423102221312103321
5144312233322223
65323021550345
7606306215354
oct132251662371
934257603362
1012124120313
115161828048
1224244153b5
1311b2aa1cb6
148302cb29b
154ae5dbe28
hex2d2a764f9

12124120313 has 2 divisors, whose sum is σ = 12124120314. Its totient is φ = 12124120312.

The previous prime is 12124120297. The next prime is 12124120363. The reversal of 12124120313 is 31302142121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11891466304 + 232654009 = 109048^2 + 15253^2 .

It is a cyclic number.

It is not a de Polignac number, because 12124120313 - 24 = 12124120297 is a prime.

It is not a weakly prime, because it can be changed into another prime (12124120363) 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, 6062060156 + 6062060157.

It is an arithmetic number, because the mean of its divisors is an integer number (6062060157).

Almost surely, 212124120313 is an apocalyptic number.

It is an amenable number.

12124120313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12124120313 is an equidigital number, since it uses as much as digits as its factorization.

12124120313 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 20.

Adding to 12124120313 its reverse (31302142121), we get a palindrome (43426262434).

The spelling of 12124120313 in words is "twelve billion, one hundred twenty-four million, one hundred twenty thousand, three hundred thirteen".