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12100414019 is a prime number
BaseRepresentation
bin10110100010011110…
…11010101001000011
31011020022001201111012
423101033122221003
5144240201222034
65320413511135
7605600551661
oct132117325103
934208051435
1012100414019
11514a406171
1224184a24ab
1311aabc18c5
1482b0b9c31
154ac4a7cce
hex2d13daa43

12100414019 has 2 divisors, whose sum is σ = 12100414020. Its totient is φ = 12100414018.

The previous prime is 12100413991. The next prime is 12100414033. The reversal of 12100414019 is 91041400121.

12100414019 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12100414019 is a prime.

It is a super-2 number, since 2×121004140192 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100413985 and 12100414003.

It is not a weakly prime, because it can be changed into another prime (12100414049) 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, 6050207009 + 6050207010.

It is an arithmetic number, because the mean of its divisors is an integer number (6050207010).

Almost surely, 212100414019 is an apocalyptic number.

12100414019 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100414019 is an equidigital number, since it uses as much as digits as its factorization.

12100414019 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 23.

The spelling of 12100414019 in words is "twelve billion, one hundred million, four hundred fourteen thousand, nineteen".