Search a number
-
+
33048121 is a prime number
BaseRepresentation
bin111111000010…
…0011000111001
32022012000111111
41332010120321
531430014441
63140200321
7550622131
oct176043071
968160444
1033048121
11177225a7
12b0990a1
136b01502
144563ac1
152d7c081
hex1f84639

33048121 has 2 divisors, whose sum is σ = 33048122. Its totient is φ = 33048120.

The previous prime is 33048101. The next prime is 33048133. The reversal of 33048121 is 12184033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30913600 + 2134521 = 5560^2 + 1461^2 .

It is a cyclic number.

It is not a de Polignac number, because 33048121 - 223 = 24659513 is a prime.

It is equal to p2034409 and since 33048121 and 2034409 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 33048092 and 33048101.

It is not a weakly prime, because it can be changed into another prime (33048101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16524060 + 16524061.

It is an arithmetic number, because the mean of its divisors is an integer number (16524061).

Almost surely, 233048121 is an apocalyptic number.

It is an amenable number.

33048121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33048121 is an equidigital number, since it uses as much as digits as its factorization.

33048121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 33048121 is about 5748.7495161992. The cubic root of 33048121 is about 320.9092661262.

The spelling of 33048121 in words is "thirty-three million, forty-eight thousand, one hundred twenty-one".