Search a number
-
+
21201122002213 is a prime number
BaseRepresentation
bin1001101001000010001010…
…10110001000010100100101
32210001210210122102020022201
410310201011112020110211
510234324344213032323
6113031354435054501
74315505365416256
oct464410526102445
983053718366281
1021201122002213
116834388726a8a
122464b04a41431
13baa346183c7a
145341d57b0b2d
1526b7533018ad
hex134845588525

21201122002213 has 2 divisors, whose sum is σ = 21201122002214. Its totient is φ = 21201122002212.

The previous prime is 21201122002211. The next prime is 21201122002241. The reversal of 21201122002213 is 31220022110212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16600882038724 + 4600239963489 = 4074418^2 + 2144817^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201122002213 - 21 = 21201122002211 is a prime.

Together with 21201122002211, 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 (21201122002211) 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, 10600561001106 + 10600561001107.

It is an arithmetic number, because the mean of its divisors is an integer number (10600561001107).

Almost surely, 221201122002213 is an apocalyptic number.

It is an amenable number.

21201122002213 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201122002213 is an equidigital number, since it uses as much as digits as its factorization.

21201122002213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21201122002213 its reverse (31220022110212), we get a palindrome (52421144112425).

The spelling of 21201122002213 in words is "twenty-one trillion, two hundred one billion, one hundred twenty-two million, two thousand, two hundred thirteen".