Search a number
-
+
12223210100533 is a prime number
BaseRepresentation
bin1011000111011111000000…
…0110001001011100110101
31121021112020112021001121221
42301313300012021130311
53100231113241204113
641555133141110341
72401045353402055
oct261676006113465
947245215231557
1012223210100533
11399291a497073
121454b343b83b1
136a884a480753
1430386c43d565
15162e48d5698d
hexb1df0189735

12223210100533 has 2 divisors, whose sum is σ = 12223210100534. Its totient is φ = 12223210100532.

The previous prime is 12223210100489. The next prime is 12223210100573. The reversal of 12223210100533 is 33500101232221.

12223210100533 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., 7915455887364 + 4307754213169 = 2813442^2 + 2075513^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12223210100533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12223210100498 and 12223210100507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12223210100573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111605050266 + 6111605050267.

It is an arithmetic number, because the mean of its divisors is an integer number (6111605050267).

Almost surely, 212223210100533 is an apocalyptic number.

It is an amenable number.

12223210100533 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223210100533 is an equidigital number, since it uses as much as digits as its factorization.

12223210100533 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 12223210100533 its reverse (33500101232221), we get a palindrome (45723311332754).

The spelling of 12223210100533 in words is "twelve trillion, two hundred twenty-three billion, two hundred ten million, one hundred thousand, five hundred thirty-three".