Search a number
-
+
33735014941 is a prime number
BaseRepresentation
bin11111011010110000…
…110111101000011101
310020002001101022122211
4133122300313220131
51023042130434231
623255254240421
72302661616145
oct373260675035
9106061338584
1033735014941
111334159a041
126655956111
133248128504
1418c0501925
15d269a9eb1
hex7dac37a1d

33735014941 has 2 divisors, whose sum is σ = 33735014942. Its totient is φ = 33735014940.

The previous prime is 33735014939. The next prime is 33735014947. The reversal of 33735014941 is 14941053733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27207182916 + 6527832025 = 164946^2 + 80795^2 .

It is a cyclic number.

It is not a de Polignac number, because 33735014941 - 21 = 33735014939 is a prime.

It is a super-2 number, since 2×337350149412 (a number of 22 digits) contains 22 as substring.

Together with 33735014939, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 33735014894 and 33735014903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33735014947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16867507470 + 16867507471.

It is an arithmetic number, because the mean of its divisors is an integer number (16867507471).

Almost surely, 233735014941 is an apocalyptic number.

It is an amenable number.

33735014941 is a deficient number, since it is larger than the sum of its proper divisors (1).

33735014941 is an equidigital number, since it uses as much as digits as its factorization.

33735014941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 33735014941 in words is "thirty-three billion, seven hundred thirty-five million, fourteen thousand, nine hundred forty-one".