Search a number
-
+
1001334133 is a prime number
BaseRepresentation
bin111011101011110…
…010010101110101
32120210012001012101
4323223302111311
54022320143013
6243210022101
733546125332
oct7353622565
92523161171
101001334133
11474255178
1223b417931
1312c5b6507
1496db7989
155cd968dd
hex3baf2575

1001334133 has 2 divisors, whose sum is σ = 1001334134. Its totient is φ = 1001334132.

The previous prime is 1001334121. The next prime is 1001334149. The reversal of 1001334133 is 3314331001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 994897764 + 6436369 = 31542^2 + 2537^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001334133 - 217 = 1001203061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001334133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001314133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500667066 + 500667067.

It is an arithmetic number, because the mean of its divisors is an integer number (500667067).

Almost surely, 21001334133 is an apocalyptic number.

It is an amenable number.

1001334133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001334133 is an equidigital number, since it uses as much as digits as its factorization.

1001334133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1001334133 is about 31643.8640655657. The cubic root of 1001334133 is about 1000.4445133786. Note that the first 3 decimals are identical.

Adding to 1001334133 its reverse (3314331001), we get a palindrome (4315665134).

The spelling of 1001334133 in words is "one billion, one million, three hundred thirty-four thousand, one hundred thirty-three".