Search a number
-
+
212033013233 is a prime number
BaseRepresentation
bin1100010101111000100…
…1110000010111110001
3202021021221112002111012
43011132021300113301
511433220422410413
6241223455200305
721214242606146
oct3053611602761
9667257462435
10212033013233
1181a17121138
1235115516095
1316cc1272352
14a3962543cd
1557aea667a8
hex315e2705f1

212033013233 has 2 divisors, whose sum is σ = 212033013234. Its totient is φ = 212033013232.

The previous prime is 212033013221. The next prime is 212033013239. The reversal of 212033013233 is 332310330212.

212033013233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210417616369 + 1615396864 = 458713^2 + 40192^2 .

It is a cyclic number.

It is not a de Polignac number, because 212033013233 - 26 = 212033013169 is a prime.

It is a super-2 number, since 2×2120330132332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212033013199 and 212033013208.

It is not a weakly prime, because it can be changed into another prime (212033013239) 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, 106016506616 + 106016506617.

It is an arithmetic number, because the mean of its divisors is an integer number (106016506617).

Almost surely, 2212033013233 is an apocalyptic number.

It is an amenable number.

212033013233 is a deficient number, since it is larger than the sum of its proper divisors (1).

212033013233 is an equidigital number, since it uses as much as digits as its factorization.

212033013233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 212033013233 its reverse (332310330212), we get a palindrome (544343343445).

The spelling of 212033013233 in words is "two hundred twelve billion, thirty-three million, thirteen thousand, two hundred thirty-three".