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2029931129 is a prime number
BaseRepresentation
bin111100011111110…
…0100101001111001
312020110200012000102
41320333210221321
513124130244004
6533232245145
7101206062362
oct17077445171
95213605012
102029931129
11951930336
124879a07b5
13264726ba5
1415384ab69
15bd32611e
hex78fe4a79

2029931129 has 2 divisors, whose sum is σ = 2029931130. Its totient is φ = 2029931128.

The previous prime is 2029931077. The next prime is 2029931131. The reversal of 2029931129 is 9211399202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1905497104 + 124434025 = 43652^2 + 11155^2 .

It is a cyclic number.

It is not a de Polignac number, because 2029931129 - 212 = 2029927033 is a prime.

Together with 2029931131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2029931092 and 2029931101.

It is not a weakly prime, because it can be changed into another prime (2029931159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1014965564 + 1014965565.

It is an arithmetic number, because the mean of its divisors is an integer number (1014965565).

Almost surely, 22029931129 is an apocalyptic number.

It is an amenable number.

2029931129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2029931129 is an equidigital number, since it uses as much as digits as its factorization.

2029931129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 2029931129 is about 45054.7570074460. The cubic root of 2029931129 is about 1266.1750976757.

The spelling of 2029931129 in words is "two billion, twenty-nine million, nine hundred thirty-one thousand, one hundred twenty-nine".