Search a number
-
+
33333000241 is a prime number
BaseRepresentation
bin11111000010110011…
…010011100000110001
310012001000220212011111
4133002303103200301
51021231222001431
623151333513321
72260010553502
oct370263234061
9105030825144
1033333000241
1113155678492
1265631a2841
1331b2a5cba8
141882d74ba9
15d015497b1
hex7c2cd3831

33333000241 has 2 divisors, whose sum is σ = 33333000242. Its totient is φ = 33333000240.

The previous prime is 33333000221. The next prime is 33333000301. The reversal of 33333000241 is 14200033333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27358483216 + 5974517025 = 165404^2 + 77295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33333000241 is a prime.

It is a super-2 number, since 2×333330002412 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33333000221) 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, 16666500120 + 16666500121.

It is an arithmetic number, because the mean of its divisors is an integer number (16666500121).

Almost surely, 233333000241 is an apocalyptic number.

It is an amenable number.

33333000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

33333000241 is an equidigital number, since it uses as much as digits as its factorization.

33333000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 33333000241 its reverse (14200033333), we get a palindrome (47533033574).

The spelling of 33333000241 in words is "thirty-three billion, three hundred thirty-three million, two hundred forty-one", and thus it is an aban number.