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24131114129 is a prime number
BaseRepresentation
bin10110011110010100…
…111001010010010001
32022021201221121110202
4112132110321102101
5343410031123004
615030301304545
71512664041263
oct263624712221
968251847422
1024131114129
11a263426231
124815565155
132377514c75
14124cc09b33
1596378eb1e
hex59e539491

24131114129 has 2 divisors, whose sum is σ = 24131114130. Its totient is φ = 24131114128.

The previous prime is 24131114113. The next prime is 24131114159. The reversal of 24131114129 is 92141113142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20557824400 + 3573289729 = 143380^2 + 59777^2 .

It is a cyclic number.

It is not a de Polignac number, because 24131114129 - 24 = 24131114113 is a prime.

It is a super-3 number, since 3×241311141293 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (24131114159) 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, 12065557064 + 12065557065.

It is an arithmetic number, because the mean of its divisors is an integer number (12065557065).

Almost surely, 224131114129 is an apocalyptic number.

It is an amenable number.

24131114129 is a deficient number, since it is larger than the sum of its proper divisors (1).

24131114129 is an equidigital number, since it uses as much as digits as its factorization.

24131114129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 29.

The spelling of 24131114129 in words is "twenty-four billion, one hundred thirty-one million, one hundred fourteen thousand, one hundred twenty-nine".