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12400303129 is a prime number
BaseRepresentation
bin10111000110001110…
…11001110000011001
31012000012100200000021
423203013121300121
5200343434200004
65410245310441
7616201560154
oct134307316031
935005320007
1012400303129
115293714305
1224a0a05421
131228081096
14858c60c9b
154c8993d54
hex2e31d9c19

12400303129 has 2 divisors, whose sum is σ = 12400303130. Its totient is φ = 12400303128.

The previous prime is 12400303121. The next prime is 12400303159. The reversal of 12400303129 is 92130300421.

12400303129 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., 11848757904 + 551545225 = 108852^2 + 23485^2 .

It is a cyclic number.

It is not a de Polignac number, because 12400303129 - 23 = 12400303121 is a prime.

It is not a weakly prime, because it can be changed into another prime (12400303121) 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, 6200151564 + 6200151565.

It is an arithmetic number, because the mean of its divisors is an integer number (6200151565).

Almost surely, 212400303129 is an apocalyptic number.

It is an amenable number.

12400303129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12400303129 is an equidigital number, since it uses as much as digits as its factorization.

12400303129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 12400303129 in words is "twelve billion, four hundred million, three hundred three thousand, one hundred twenty-nine".