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212033113333 is a prime number
BaseRepresentation
bin1100010101111000101…
…0001000110011110101
3202021021221201011210121
43011132022020303311
511433220434111313
6241223501251541
721214243504036
oct3053612106365
9667257634717
10212033113333
1181a1718a368
1235115563bb1
1316cc12a8a92
14a39627ca8d
1557aea8628d
hex315e288cf5

212033113333 has 2 divisors, whose sum is σ = 212033113334. Its totient is φ = 212033113332.

The previous prime is 212033113307. The next prime is 212033113367. The reversal of 212033113333 is 333311330212.

212033113333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160967056849 + 51066056484 = 401207^2 + 225978^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212033113333 is a prime.

It is a super-2 number, since 2×2120331133332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212033113298 and 212033113307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212033116333) 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, 106016556666 + 106016556667.

It is an arithmetic number, because the mean of its divisors is an integer number (106016556667).

Almost surely, 2212033113333 is an apocalyptic number.

It is an amenable number.

212033113333 is a deficient number, since it is larger than the sum of its proper divisors (1).

212033113333 is an equidigital number, since it uses as much as digits as its factorization.

212033113333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 212033113333 its reverse (333311330212), we get a palindrome (545344443545).

The spelling of 212033113333 in words is "two hundred twelve billion, thirty-three million, one hundred thirteen thousand, three hundred thirty-three".