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211222200001 is a prime number
BaseRepresentation
bin1100010010110111010…
…0101111111011000001
3202012012102211111211111
43010231310233323001
511430040340400001
6241011212443321
721155166035161
oct3045564577301
9665172744744
10211222200001
118164047515a
1234b29a79541
1316bc22a46c7
14a31a6b25a1
1557637a5851
hex312dd2fec1

211222200001 has 2 divisors, whose sum is σ = 211222200002. Its totient is φ = 211222200000.

The previous prime is 211222199963. The next prime is 211222200029. The reversal of 211222200001 is 100002222112.

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., 209965568400 + 1256631601 = 458220^2 + 35449^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222200001 - 217 = 211222068929 is a prime.

It is a super-2 number, since 2×2112222000012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211222200401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105611100000 + 105611100001.

It is an arithmetic number, because the mean of its divisors is an integer number (105611100001).

Almost surely, 2211222200001 is an apocalyptic number.

It is an amenable number.

211222200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222200001 is an equidigital number, since it uses as much as digits as its factorization.

211222200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211222200001 its reverse (100002222112), we get a palindrome (311224422113).

The spelling of 211222200001 in words is "two hundred eleven billion, two hundred twenty-two million, two hundred thousand, one".