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112201220221 is a prime number
BaseRepresentation
bin110100001111110110…
…1101100000001111101
3101201121111101112211221
41220133231230001331
53314242003021341
6123313341313341
711051310431056
oct1503755540175
9351544345757
10112201220221
1143647733482
12198b3b65851
13a771567a8c
14560569b72d
152dba4a5ed1
hex1a1fb6c07d

112201220221 has 2 divisors, whose sum is σ = 112201220222. Its totient is φ = 112201220220.

The previous prime is 112201220171. The next prime is 112201220249. The reversal of 112201220221 is 122022102211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104806940121 + 7394280100 = 323739^2 + 85990^2 .

It is an emirp because it is prime and its reverse (122022102211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112201220221 - 213 = 112201212029 is a prime.

It is a super-2 number, since 2×1122012202212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112201220195 and 112201220204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112201221221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56100610110 + 56100610111.

It is an arithmetic number, because the mean of its divisors is an integer number (56100610111).

Almost surely, 2112201220221 is an apocalyptic number.

It is an amenable number.

112201220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

112201220221 is an equidigital number, since it uses as much as digits as its factorization.

112201220221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112201220221 its reverse (122022102211), we get a palindrome (234223322432).

The spelling of 112201220221 in words is "one hundred twelve billion, two hundred one million, two hundred twenty thousand, two hundred twenty-one".