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13220221224253 is a prime number
BaseRepresentation
bin1100000001100001001010…
…0101110000010100111101
31201210211200221120211122111
43000120102211300110331
53213100003113134003
644041141421414021
72533062256205101
oct300302245602475
951724627524574
1013220221224253
114237734259a7a
12159620140a311
1374b87a45ac34
14339c0d937901
1517dd4cec4e6d
hexc061297053d

13220221224253 has 2 divisors, whose sum is σ = 13220221224254. Its totient is φ = 13220221224252.

The previous prime is 13220221224251. The next prime is 13220221224361. The reversal of 13220221224253 is 35242212202231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13215827788164 + 4393436089 = 3635358^2 + 66283^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220221224253 - 21 = 13220221224251 is a prime.

It is a super-3 number, since 3×132202212242533 (a number of 40 digits) contains 333 as substring.

Together with 13220221224251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13220221224251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610110612126 + 6610110612127.

It is an arithmetic number, because the mean of its divisors is an integer number (6610110612127).

Almost surely, 213220221224253 is an apocalyptic number.

It is an amenable number.

13220221224253 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220221224253 is an equidigital number, since it uses as much as digits as its factorization.

13220221224253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 13220221224253 its reverse (35242212202231), we get a palindrome (48462433426484).

The spelling of 13220221224253 in words is "thirteen trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twenty-four thousand, two hundred fifty-three".