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33120149 is a prime number
BaseRepresentation
bin111111001010…
…1111110010101
32022022200022012
41332111332111
531434321044
63141514005
7551342126
oct176257625
968280265
1033120149
1117771727
12b112905
136b2822a
14458204d
152d9359e
hex1f95f95

33120149 has 2 divisors, whose sum is σ = 33120150. Its totient is φ = 33120148.

The previous prime is 33120137. The next prime is 33120179. The reversal of 33120149 is 94102133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31696900 + 1423249 = 5630^2 + 1193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33120149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33120119) 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, 16560074 + 16560075.

It is an arithmetic number, because the mean of its divisors is an integer number (16560075).

Almost surely, 233120149 is an apocalyptic number.

It is an amenable number.

33120149 is a deficient number, since it is larger than the sum of its proper divisors (1).

33120149 is an equidigital number, since it uses as much as digits as its factorization.

33120149 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 23.

The square root of 33120149 is about 5755.0107732306. The cubic root of 33120149 is about 321.1422363089.

The spelling of 33120149 in words is "thirty-three million, one hundred twenty thousand, one hundred forty-nine".