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12181000417 is a prime number
BaseRepresentation
bin10110101100000101…
…10101000011100001
31011102220200221020121
423112002311003201
5144421314003132
65332413040241
7610566536515
oct132602650341
934386627217
1012181000417
1151909479a3
12243b486081
1311c17c8b71
14837a96145
154b45c5497
hex2d60b50e1

12181000417 has 2 divisors, whose sum is σ = 12181000418. Its totient is φ = 12181000416.

The previous prime is 12181000379. The next prime is 12181000421. The reversal of 12181000417 is 71400018121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12100880016 + 80120401 = 110004^2 + 8951^2 .

It is a cyclic number.

It is not a de Polignac number, because 12181000417 - 211 = 12180998369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12181000391 and 12181000400.

It is not a weakly prime, because it can be changed into another prime (12181000457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6090500208 + 6090500209.

It is an arithmetic number, because the mean of its divisors is an integer number (6090500209).

Almost surely, 212181000417 is an apocalyptic number.

It is an amenable number.

12181000417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12181000417 is an equidigital number, since it uses as much as digits as its factorization.

12181000417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 25.

Adding to 12181000417 its reverse (71400018121), we get a palindrome (83581018538).

The spelling of 12181000417 in words is "twelve billion, one hundred eighty-one million, four hundred seventeen", and thus it is an aban number.