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211231223201 is a prime number
BaseRepresentation
bin1100010010111001011…
…1001010110110100001
3202012020001210221100002
43010232113022312201
511430100143120301
6241012134105345
721155335525655
oct3045627126641
9665201727302
10211231223201
1181645578449
1234b30aab255
1316bc411378b
14a31b980a65
15576448916b
hex312e5cada1

211231223201 has 2 divisors, whose sum is σ = 211231223202. Its totient is φ = 211231223200.

The previous prime is 211231223197. The next prime is 211231223233. The reversal of 211231223201 is 102322132112.

211231223201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115627201600 + 95604021601 = 340040^2 + 309199^2 .

It is a cyclic number.

It is not a de Polignac number, because 211231223201 - 22 = 211231223197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (211231222201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105615611600 + 105615611601.

It is an arithmetic number, because the mean of its divisors is an integer number (105615611601).

Almost surely, 2211231223201 is an apocalyptic number.

It is an amenable number.

211231223201 is a deficient number, since it is larger than the sum of its proper divisors (1).

211231223201 is an equidigital number, since it uses as much as digits as its factorization.

211231223201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211231223201 its reverse (102322132112), we get a palindrome (313553355313).

The spelling of 211231223201 in words is "two hundred eleven billion, two hundred thirty-one million, two hundred twenty-three thousand, two hundred one".