Search a number
-
+
1310033 is a prime number
BaseRepresentation
bin100111111110101010001
32110120000202
410333311101
5313410113
644024545
714064224
oct4776521
92416022
101310033
1181527a
12532155
1336b38a
142615bb
151ad258
hex13fd51

1310033 has 2 divisors, whose sum is σ = 1310034. Its totient is φ = 1310032.

The previous prime is 1309999. The next prime is 1310039. The reversal of 1310033 is 3300131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1227664 + 82369 = 1108^2 + 287^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1310033 is a prime.

It is a super-2 number, since 2×13100332 = 3432372922178, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1309996 and 1310023.

It is not a weakly prime, because it can be changed into another prime (1310039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655016 + 655017.

It is an arithmetic number, because the mean of its divisors is an integer number (655017).

21310033 is an apocalyptic number.

It is an amenable number.

1310033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310033 is an equidigital number, since it uses as much as digits as its factorization.

1310033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 1310033 is about 1144.5667302521. The cubic root of 1310033 is about 109.4193369092.

Adding to 1310033 its reverse (3300131), we get a palindrome (4610164).

The spelling of 1310033 in words is "one million, three hundred ten thousand, thirty-three".