Search a number
-
+
33182947033 is a prime number
BaseRepresentation
bin11110111001110110…
…111001011011011001
310011122120120100212021
4132321312321123121
51020424313301113
623124413414441
72253206252545
oct367166713331
9104576510767
1033182947033
11130889aa275
126520a9a421
13318a942a02
14186b074a25
15ce32a948d
hex7b9db96d9

33182947033 has 2 divisors, whose sum is σ = 33182947034. Its totient is φ = 33182947032.

The previous prime is 33182947027. The next prime is 33182947051. The reversal of 33182947033 is 33074928133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18743800464 + 14439146569 = 136908^2 + 120163^2 .

It is a cyclic number.

It is not a de Polignac number, because 33182947033 - 29 = 33182946521 is a prime.

It is a super-3 number, since 3×331829470333 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (33182947013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16591473516 + 16591473517.

It is an arithmetic number, because the mean of its divisors is an integer number (16591473517).

Almost surely, 233182947033 is an apocalyptic number.

It is an amenable number.

33182947033 is a deficient number, since it is larger than the sum of its proper divisors (1).

33182947033 is an equidigital number, since it uses as much as digits as its factorization.

33182947033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 43.

The spelling of 33182947033 in words is "thirty-three billion, one hundred eighty-two million, nine hundred forty-seven thousand, thirty-three".