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20034133060129 is a prime number
BaseRepresentation
bin1001000111000100011110…
…11000100110101000100001
32121221020121011211121122221
410203202033120212220201
510111214401030411004
6110335315332031041
74135263331161466
oct443421730465041
977836534747587
1020034133060129
116424478907341
1222b68ba762481
13b24297a17b36
144d392b57566d
1524b20176a354
hex12388f626a21

20034133060129 has 2 divisors, whose sum is σ = 20034133060130. Its totient is φ = 20034133060128.

The previous prime is 20034133060121. The next prime is 20034133060159. The reversal of 20034133060129 is 92106033143002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18977044750225 + 1057088309904 = 4356265^2 + 1028148^2 .

It is a cyclic number.

It is not a de Polignac number, because 20034133060129 - 23 = 20034133060121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20034133060094 and 20034133060103.

It is not a weakly prime, because it can be changed into another prime (20034133060121) 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, 10017066530064 + 10017066530065.

It is an arithmetic number, because the mean of its divisors is an integer number (10017066530065).

Almost surely, 220034133060129 is an apocalyptic number.

It is an amenable number.

20034133060129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20034133060129 is an equidigital number, since it uses as much as digits as its factorization.

20034133060129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 20034133060129 in words is "twenty trillion, thirty-four billion, one hundred thirty-three million, sixty thousand, one hundred twenty-nine".