Search a number
-
+
211022333101 is a prime number
BaseRepresentation
bin1100010010000111101…
…0010100010010101101
3202011200111202012222201
43010201322110102231
511424133204124401
6240535312541501
721150221143636
oct3044172242255
9664614665881
10211022333101
11815486731a8
1234a92b51891
1316b8ca65b78
14a2dbd2688d
155750e75b01
hex3121e944ad

211022333101 has 2 divisors, whose sum is σ = 211022333102. Its totient is φ = 211022333100.

The previous prime is 211022333099. The next prime is 211022333141. The reversal of 211022333101 is 101333220112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210450645001 + 571688100 = 458749^2 + 23910^2 .

It is a cyclic number.

It is not a de Polignac number, because 211022333101 - 21 = 211022333099 is a prime.

Together with 211022333099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211022333141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105511166550 + 105511166551.

It is an arithmetic number, because the mean of its divisors is an integer number (105511166551).

Almost surely, 2211022333101 is an apocalyptic number.

It is an amenable number.

211022333101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211022333101 is an equidigital number, since it uses as much as digits as its factorization.

211022333101 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 19.

Adding to 211022333101 its reverse (101333220112), we get a palindrome (312355553213).

The spelling of 211022333101 in words is "two hundred eleven billion, twenty-two million, three hundred thirty-three thousand, one hundred one".