Search a number
-
+
33300112213 is a prime number
BaseRepresentation
bin11111000000110101…
…110110001101010101
310011221202000222021101
4133000311312031111
51021144312042323
623144200550101
72256131166154
oct370065661525
9104852028241
1033300112213
11131390551a5
126554182331
1331a8cb6514
14187c85359b
15ced6eedad
hex7c0d76355

33300112213 has 2 divisors, whose sum is σ = 33300112214. Its totient is φ = 33300112212.

The previous prime is 33300112171. The next prime is 33300112217. The reversal of 33300112213 is 31221100333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22747275684 + 10552836529 = 150822^2 + 102727^2 .

It is a cyclic number.

It is not a de Polignac number, because 33300112213 - 29 = 33300111701 is a prime.

It is a super-2 number, since 2×333001122132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33300112217) 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, 16650056106 + 16650056107.

It is an arithmetic number, because the mean of its divisors is an integer number (16650056107).

Almost surely, 233300112213 is an apocalyptic number.

It is an amenable number.

33300112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

33300112213 is an equidigital number, since it uses as much as digits as its factorization.

33300112213 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.

Adding to 33300112213 its reverse (31221100333), we get a palindrome (64521212546).

The spelling of 33300112213 in words is "thirty-three billion, three hundred million, one hundred twelve thousand, two hundred thirteen".