Search a number
-
+
33424312081 is a prime number
BaseRepresentation
bin11111001000001111…
…101000011100010001
310012021101201222110111
4133020033220130101
51021423110441311
623204355001321
72262166651666
oct371017503421
9105241658414
1033424312081
11131a2175416
126589899241
1331c8950c74
141891143a6d
15d09584d21
hex7c83e8711

33424312081 has 2 divisors, whose sum is σ = 33424312082. Its totient is φ = 33424312080.

The previous prime is 33424312079. The next prime is 33424312109. The reversal of 33424312081 is 18021342433.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25030087681 + 8394224400 = 158209^2 + 91620^2 .

It is a cyclic number.

It is not a de Polignac number, because 33424312081 - 21 = 33424312079 is a prime.

It is a super-2 number, since 2×334243120812 (a number of 22 digits) contains 22 as substring.

Together with 33424312079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33424312021) 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, 16712156040 + 16712156041.

It is an arithmetic number, because the mean of its divisors is an integer number (16712156041).

Almost surely, 233424312081 is an apocalyptic number.

It is an amenable number.

33424312081 is a deficient number, since it is larger than the sum of its proper divisors (1).

33424312081 is an equidigital number, since it uses as much as digits as its factorization.

33424312081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 33424312081 in words is "thirty-three billion, four hundred twenty-four million, three hundred twelve thousand, eighty-one".