Search a number
-
+
33313316461 is a prime number
BaseRepresentation
bin11111000001101000…
…001101111001101101
310011222122212211002121
4133001220031321231
51021211202111321
623145351552541
72256351342415
oct370150157155
9104878784077
1033313316461
11131455537a7
12655868b751
1331ab95a699
1418804cd645
15cee95c441
hex7c1a0de6d

33313316461 has 2 divisors, whose sum is σ = 33313316462. Its totient is φ = 33313316460.

The previous prime is 33313316459. The next prime is 33313316483. The reversal of 33313316461 is 16461331333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18531376900 + 14781939561 = 136130^2 + 121581^2 .

It is a cyclic number.

It is not a de Polignac number, because 33313316461 - 21 = 33313316459 is a prime.

It is a super-2 number, since 2×333133164612 (a number of 22 digits) contains 22 as substring.

Together with 33313316459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33313311461) 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, 16656658230 + 16656658231.

It is an arithmetic number, because the mean of its divisors is an integer number (16656658231).

Almost surely, 233313316461 is an apocalyptic number.

It is an amenable number.

33313316461 is a deficient number, since it is larger than the sum of its proper divisors (1).

33313316461 is an equidigital number, since it uses as much as digits as its factorization.

33313316461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 34.

Adding to 33313316461 its reverse (16461331333), we get a palindrome (49774647794).

The spelling of 33313316461 in words is "thirty-three billion, three hundred thirteen million, three hundred sixteen thousand, four hundred sixty-one".