Search a number
-
+
33123193 is a prime number
BaseRepresentation
bin111111001011…
…0101101111001
32022022211110221
41332112231321
531434420233
63141540041
7551354035
oct176265571
968284427
1033123193
1117773a44
12b114621
136b2972c
1445831c5
152d9442d
hex1f96b79

33123193 has 2 divisors, whose sum is σ = 33123194. Its totient is φ = 33123192.

The previous prime is 33123143. The next prime is 33123217. The reversal of 33123193 is 39132133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18045504 + 15077689 = 4248^2 + 3883^2 .

It is an emirp because it is prime and its reverse (39132133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33123193 is a prime.

It is not a weakly prime, because it can be changed into another prime (33123113) 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, 16561596 + 16561597.

It is an arithmetic number, because the mean of its divisors is an integer number (16561597).

Almost surely, 233123193 is an apocalyptic number.

It is an amenable number.

33123193 is a deficient number, since it is larger than the sum of its proper divisors (1).

33123193 is an equidigital number, since it uses as much as digits as its factorization.

33123193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1458, while the sum is 25.

The square root of 33123193 is about 5755.2752323412. The cubic root of 33123193 is about 321.1520744995.

The spelling of 33123193 in words is "thirty-three million, one hundred twenty-three thousand, one hundred ninety-three".