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222131313101 is a prime number
BaseRepresentation
bin1100111011100000001…
…1101101100111001101
3210020100201020212200102
43032320003231213031
512114411104004401
6250013512540445
722022423002505
oct3167003554715
9706321225612
10222131313101
1186229376305
12370733b1725
1317c40429509
14aa73484a05
155ba139056b
hex33b80ed9cd

222131313101 has 2 divisors, whose sum is σ = 222131313102. Its totient is φ = 222131313100.

The previous prime is 222131313083. The next prime is 222131313121. The reversal of 222131313101 is 101313131222.

It is a happy number.

It is an a-pointer prime, because the next prime (222131313121) can be obtained adding 222131313101 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221936152201 + 195160900 = 471101^2 + 13970^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222131313101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222131313121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111065656550 + 111065656551.

It is an arithmetic number, because the mean of its divisors is an integer number (111065656551).

Almost surely, 2222131313101 is an apocalyptic number.

It is an amenable number.

222131313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222131313101 is an equidigital number, since it uses as much as digits as its factorization.

222131313101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 222131313101 its reverse (101313131222), we get a palindrome (323444444323).

The spelling of 222131313101 in words is "two hundred twenty-two billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred one".