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33004129 is a prime number
BaseRepresentation
bin111110111100…
…1101001100001
32022002210011011
41331321221201
531422113004
63135220521
7550346644
oct175715141
968083134
1033004129
11176a2544
12b077741
136ab7492
144551a5b
152d6e004
hex1f79a61

33004129 has 2 divisors, whose sum is σ = 33004130. Its totient is φ = 33004128.

The previous prime is 33004109. The next prime is 33004151. The reversal of 33004129 is 92140033.

It is an a-pointer prime, because the next prime (33004151) can be obtained adding 33004129 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18258529 + 14745600 = 4273^2 + 3840^2 .

It is an emirp because it is prime and its reverse (92140033) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33004129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33004109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16502064 + 16502065.

It is an arithmetic number, because the mean of its divisors is an integer number (16502065).

Almost surely, 233004129 is an apocalyptic number.

It is an amenable number.

33004129 is a deficient number, since it is larger than the sum of its proper divisors (1).

33004129 is an equidigital number, since it uses as much as digits as its factorization.

33004129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 33004129 is about 5744.9220186178. The cubic root of 33004129 is about 320.7668101278.

It can be divided in two parts, 33004 and 129, that added together give a palindrome (33133).

The spelling of 33004129 in words is "thirty-three million, four thousand, one hundred twenty-nine".