Search a number
-
+
2200212000221 is a prime number
BaseRepresentation
bin100000000001000110110…
…110101100110111011101
321210100010120001021002112
4200001012312230313131
5242022013233001341
64402432523003405
7314650206266354
oct40010666546735
97710116037075
102200212000221
11779117350984
122b64ba669565
1312c62c77c961
14786c2b9899b
153c374d7baeb
hex20046dacddd

2200212000221 has 2 divisors, whose sum is σ = 2200212000222. Its totient is φ = 2200212000220.

The previous prime is 2200212000209. The next prime is 2200212000263. The reversal of 2200212000221 is 1220002120022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1373258203321 + 826953796900 = 1171861^2 + 909370^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200212000221 - 210 = 2200211999197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2200212000196 and 2200212000205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200212000421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100106000110 + 1100106000111.

It is an arithmetic number, because the mean of its divisors is an integer number (1100106000111).

Almost surely, 22200212000221 is an apocalyptic number.

It is an amenable number.

2200212000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200212000221 is an equidigital number, since it uses as much as digits as its factorization.

2200212000221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2200212000221 its reverse (1220002120022), we get a palindrome (3420214120243).

The spelling of 2200212000221 in words is "two trillion, two hundred billion, two hundred twelve million, two hundred twenty-one", and thus it is an aban number.