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12205484429 is a prime number
BaseRepresentation
bin10110101111000000…
…01110100110001101
31011111121202211222212
423113200032212031
5144444101000204
65335045520205
7611314622465
oct132740164615
934447684885
1012205484429
1151a3750116
122447713065
1311c68bc248
1483b02aba5
154b680ec6e
hex2d780e98d

12205484429 has 2 divisors, whose sum is σ = 12205484430. Its totient is φ = 12205484428.

The previous prime is 12205484413. The next prime is 12205484453. The reversal of 12205484429 is 92448450221.

12205484429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12034528804 + 170955625 = 109702^2 + 13075^2 .

It is a cyclic number.

It is not a de Polignac number, because 12205484429 - 24 = 12205484413 is a prime.

It is a super-2 number, since 2×122054844292 (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 (12205484729) 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, 6102742214 + 6102742215.

It is an arithmetic number, because the mean of its divisors is an integer number (6102742215).

Almost surely, 212205484429 is an apocalyptic number.

It is an amenable number.

12205484429 is a deficient number, since it is larger than the sum of its proper divisors (1).

12205484429 is an equidigital number, since it uses as much as digits as its factorization.

12205484429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 12205484429 in words is "twelve billion, two hundred five million, four hundred eighty-four thousand, four hundred twenty-nine".