Search a number
-
+
33141336013 is a prime number
BaseRepresentation
bin11110110111011000…
…001010011111001101
310011112200021022021101
4132313120022133031
51020333140223023
623120325503101
72252162464612
oct366730123715
9104480238241
1033141336013
11130674692a5
12650ab71a91
133182133ac6
141865722509
15cde7da1ad
hex7b760a7cd

33141336013 has 2 divisors, whose sum is σ = 33141336014. Its totient is φ = 33141336012.

The previous prime is 33141335999. The next prime is 33141336071. The reversal of 33141336013 is 31063314133.

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., 18588050244 + 14553285769 = 136338^2 + 120637^2 .

It is an emirp because it is prime and its reverse (31063314133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33141336013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33141336083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16570668006 + 16570668007.

It is an arithmetic number, because the mean of its divisors is an integer number (16570668007).

Almost surely, 233141336013 is an apocalyptic number.

It is an amenable number.

33141336013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33141336013 is an equidigital number, since it uses as much as digits as its factorization.

33141336013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 33141336013 in words is "thirty-three billion, one hundred forty-one million, three hundred thirty-six thousand, thirteen".