Search a number
-
+
31321033 is a prime number
BaseRepresentation
bin111011101111…
…0101111001001
32011221021101021
41313132233021
531004233113
63035152441
7530136652
oct167365711
964837337
1031321033
1116752a57
12a5a5721
136648373
144234529
152b3a48d
hex1ddebc9

31321033 has 2 divisors, whose sum is σ = 31321034. Its totient is φ = 31321032.

The previous prime is 31321013. The next prime is 31321049. The reversal of 31321033 is 33012313.

It is an a-pointer prime, because the next prime (31321049) can be obtained adding 31321033 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29506624 + 1814409 = 5432^2 + 1347^2 .

It is an emirp because it is prime and its reverse (33012313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31321033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31320998 and 31321016.

It is not a weakly prime, because it can be changed into another prime (31321013) 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, 15660516 + 15660517.

It is an arithmetic number, because the mean of its divisors is an integer number (15660517).

Almost surely, 231321033 is an apocalyptic number.

It is an amenable number.

31321033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31321033 is an equidigital number, since it uses as much as digits as its factorization.

31321033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 31321033 is about 5596.5197221130. The cubic root of 31321033 is about 315.2187378008.

Adding to 31321033 its reverse (33012313), we get a palindrome (64333346).

The spelling of 31321033 in words is "thirty-one million, three hundred twenty-one thousand, thirty-three".