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12204213331133 is a prime number
BaseRepresentation
bin1011000110011000001111…
…0011001110010010111101
31121012201012121111012001002
42301212003303032102331
53044423212103044013
641542312130300045
72366503532462525
oct261460363162275
947181177435032
1012204213331133
11398586129804a
121451312427625
136a6b108a45b5
143029894a6685
151626d6209358
hexb1983cce4bd

12204213331133 has 2 divisors, whose sum is σ = 12204213331134. Its totient is φ = 12204213331132.

The previous prime is 12204213331099. The next prime is 12204213331147. The reversal of 12204213331133 is 33113331240221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7213537754809 + 4990675576324 = 2685803^2 + 2233982^2 .

It is a cyclic number.

It is not a de Polignac number, because 12204213331133 - 210 = 12204213330109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12204213331096 and 12204213331105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12204213331153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6102106665566 + 6102106665567.

It is an arithmetic number, because the mean of its divisors is an integer number (6102106665567).

Almost surely, 212204213331133 is an apocalyptic number.

It is an amenable number.

12204213331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12204213331133 is an equidigital number, since it uses as much as digits as its factorization.

12204213331133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 12204213331133 its reverse (33113331240221), we get a palindrome (45317544571354).

It can be divided in two parts, 1220421 and 3331133, that added together give a palindrome (4551554).

The spelling of 12204213331133 in words is "twelve trillion, two hundred four billion, two hundred thirteen million, three hundred thirty-one thousand, one hundred thirty-three".