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12220331323253 is a prime number
BaseRepresentation
bin1011000111010100010010…
…0000011110111101110101
31121021020210220100000121012
42301311010200132331311
53100204214304321003
641553535343002005
72400614126242304
oct261650440367565
947236726300535
1012220331323253
1139916824a3099
121454470299305
136a84abc30841
14303677d9043b
15162d2b25a8d8
hexb1d4481ef75

12220331323253 has 2 divisors, whose sum is σ = 12220331323254. Its totient is φ = 12220331323252.

The previous prime is 12220331323159. The next prime is 12220331323273. The reversal of 12220331323253 is 35232313302221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6342625660849 + 5877705662404 = 2518457^2 + 2424398^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220331323253 - 228 = 12220062887797 is a prime.

It is a super-3 number, since 3×122203313232533 (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220331323273) 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, 6110165661626 + 6110165661627.

It is an arithmetic number, because the mean of its divisors is an integer number (6110165661627).

Almost surely, 212220331323253 is an apocalyptic number.

It is an amenable number.

12220331323253 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220331323253 is an equidigital number, since it uses as much as digits as its factorization.

12220331323253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 12220331323253 its reverse (35232313302221), we get a palindrome (47452644625474).

The spelling of 12220331323253 in words is "twelve trillion, two hundred twenty billion, three hundred thirty-one million, three hundred twenty-three thousand, two hundred fifty-three".