Search a number
-
+
211222331222033 is a prime number
BaseRepresentation
bin110000000001101100001000…
…000001010110100000010001
31000200212122202102201001001202
4300001230020001112200101
5210141131313243101113
62025122111022440545
762330211162641555
oct6001541001264021
91020778672631052
10211222331222033
116133598446905a
121b834377433155
1390b2246364141
143a23302ddb865
15196459e426258
hexc01b08056811

211222331222033 has 2 divisors, whose sum is σ = 211222331222034. Its totient is φ = 211222331222032.

The previous prime is 211222331221873. The next prime is 211222331222053. The reversal of 211222331222033 is 330222133222112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137137871305744 + 74084459916289 = 11710588^2 + 8607233^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222331222033 - 240 = 210122819594257 is a prime.

It is a super-2 number, since 2×2112223312220332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222331221987 and 211222331222005.

It is not a weakly prime, because it can be changed into another prime (211222331222053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105611165611016 + 105611165611017.

It is an arithmetic number, because the mean of its divisors is an integer number (105611165611017).

Almost surely, 2211222331222033 is an apocalyptic number.

It is an amenable number.

211222331222033 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222331222033 is an equidigital number, since it uses as much as digits as its factorization.

211222331222033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 211222331222033 its reverse (330222133222112), we get a palindrome (541444464444145).

The spelling of 211222331222033 in words is "two hundred eleven trillion, two hundred twenty-two billion, three hundred thirty-one million, two hundred twenty-two thousand, thirty-three".