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2000024129 is a prime number
BaseRepresentation
bin111011100110101…
…1111001001000001
312011101101202022202
41313031133021001
513044001233004
6530243242545
7100363632065
oct16715371101
95141352282
102000024129
11936a63804
12479979455
1325b48533c
1414d8a3aa5
15ba8b9b1e
hex7735f241

2000024129 has 2 divisors, whose sum is σ = 2000024130. Its totient is φ = 2000024128.

The previous prime is 2000024107. The next prime is 2000024137. The reversal of 2000024129 is 9214200002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1882258225 + 117765904 = 43385^2 + 10852^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000024129 - 216 = 1999958593 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2000024129.

It is not a weakly prime, because it can be changed into another prime (2000024329) 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, 1000012064 + 1000012065.

It is an arithmetic number, because the mean of its divisors is an integer number (1000012065).

Almost surely, 22000024129 is an apocalyptic number.

It is an amenable number.

2000024129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000024129 is an equidigital number, since it uses as much as digits as its factorization.

2000024129 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 20.

The square root of 2000024129 is about 44721.6293196033. The cubic root of 2000024129 is about 1259.9261166470.

The spelling of 2000024129 in words is "two billion, twenty-four thousand, one hundred twenty-nine".