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221131301 is a prime number
BaseRepresentation
bin11010010111000…
…11001000100101
3120102002122010012
431023203020211
5423102200201
633535340005
75323404446
oct1513431045
9512078105
10221131301
11103906246
1262081605
1336a75631
14215232cd
15146305bb
hexd2e3225

221131301 has 2 divisors, whose sum is σ = 221131302. Its totient is φ = 221131300.

The previous prime is 221131297. The next prime is 221131303. The reversal of 221131301 is 103131122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149475076 + 71656225 = 12226^2 + 8465^2 .

It is a cyclic number.

It is not a de Polignac number, because 221131301 - 22 = 221131297 is a prime.

It is a super-3 number, since 3×2211313013 (a number of 26 digits) contains 333 as substring.

Together with 221131303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221131303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110565650 + 110565651.

It is an arithmetic number, because the mean of its divisors is an integer number (110565651).

Almost surely, 2221131301 is an apocalyptic number.

It is an amenable number.

221131301 is a deficient number, since it is larger than the sum of its proper divisors (1).

221131301 is an equidigital number, since it uses as much as digits as its factorization.

221131301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 221131301 is about 14870.4842221092. The cubic root of 221131301 is about 604.7140702015.

Adding to 221131301 its reverse (103131122), we get a palindrome (324262423).

The spelling of 221131301 in words is "two hundred twenty-one million, one hundred thirty-one thousand, three hundred one".