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313224221 is a prime number
BaseRepresentation
bin10010101010110…
…110110000011101
3210211101102212002
4102222312300131
51120141133341
651025252045
710522235102
oct2252666035
9724342762
10313224221
11150896aa2
1288a94025
134cb7b09b
142d856aa9
151c77229b
hex12ab6c1d

313224221 has 2 divisors, whose sum is σ = 313224222. Its totient is φ = 313224220.

The previous prime is 313224211. The next prime is 313224227. The reversal of 313224221 is 122422313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 277056025 + 36168196 = 16645^2 + 6014^2 .

It is a cyclic number.

It is not a de Polignac number, because 313224221 - 218 = 312962077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313224193 and 313224202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313224227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156612110 + 156612111.

It is an arithmetic number, because the mean of its divisors is an integer number (156612111).

Almost surely, 2313224221 is an apocalyptic number.

It is an amenable number.

313224221 is a deficient number, since it is larger than the sum of its proper divisors (1).

313224221 is an equidigital number, since it uses as much as digits as its factorization.

313224221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 20.

The square root of 313224221 is about 17698.1417386120. The cubic root of 313224221 is about 679.1282232362.

Adding to 313224221 its reverse (122422313), we get a palindrome (435646534).

The spelling of 313224221 in words is "three hundred thirteen million, two hundred twenty-four thousand, two hundred twenty-one".