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21114122201 is a prime number
BaseRepresentation
bin10011101010011111…
…111110111111011001
32000111110221112120222
4103222133332333121
5321220203402301
613411044525425
71345141035404
oct235237767731
960443845528
1021114122201
118a5540a577
1241130b0875
131cb6461543
14104425cd3b
1583899131b
hex4ea7fefd9

21114122201 has 2 divisors, whose sum is σ = 21114122202. Its totient is φ = 21114122200.

The previous prime is 21114122167. The next prime is 21114122209. The reversal of 21114122201 is 10222141112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17219738176 + 3894384025 = 131224^2 + 62405^2 .

It is a cyclic number.

It is not a de Polignac number, because 21114122201 - 210 = 21114121177 is a prime.

It is a super-2 number, since 2×211141222012 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21114122201.

It is not a weakly prime, because it can be changed into another prime (21114122209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10557061100 + 10557061101.

It is an arithmetic number, because the mean of its divisors is an integer number (10557061101).

Almost surely, 221114122201 is an apocalyptic number.

It is an amenable number.

21114122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21114122201 is an equidigital number, since it uses as much as digits as its factorization.

21114122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21114122201 its reverse (10222141112), we get a palindrome (31336263313).

The spelling of 21114122201 in words is "twenty-one billion, one hundred fourteen million, one hundred twenty-two thousand, two hundred one".