Search a number
-
+
311131302221 is a prime number
BaseRepresentation
bin1001000011100001101…
…11101110100101001101
31002202002021102202202202
410201300313232211031
520044144103132341
6354533131331245
731323060301445
oct4416067564515
91082067382682
10311131302221
1110aa4a566423
12503712b0b25
132345500967c
14110b7631125
15815ea3779b
hex4870dee94d

311131302221 has 2 divisors, whose sum is σ = 311131302222. Its totient is φ = 311131302220.

The previous prime is 311131302199. The next prime is 311131302239. The reversal of 311131302221 is 122203131113.

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., 180077166025 + 131054136196 = 424355^2 + 362014^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311131302221 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 311131302193 and 311131302202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311131302421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155565651110 + 155565651111.

It is an arithmetic number, because the mean of its divisors is an integer number (155565651111).

Almost surely, 2311131302221 is an apocalyptic number.

It is an amenable number.

311131302221 is a deficient number, since it is larger than the sum of its proper divisors (1).

311131302221 is an equidigital number, since it uses as much as digits as its factorization.

311131302221 is an evil number, because the sum of its binary digits is even.

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

Adding to 311131302221 its reverse (122203131113), we get a palindrome (433334433334).

The spelling of 311131302221 in words is "three hundred eleven billion, one hundred thirty-one million, three hundred two thousand, two hundred twenty-one".