Search a number
-
+
1022212220201 is a prime number
BaseRepresentation
bin11101110000000001001…
…10001010010100101001
310121201111201122010100022
432320000212022110221
5113221442312021301
62101333043250225
7133565241336344
oct16700046122451
93551451563308
101022212220201
11364577170777
12146140979975
13755180930c3
143769246b45b
151b8cb814d1b
hexee0098a529

1022212220201 has 2 divisors, whose sum is σ = 1022212220202. Its totient is φ = 1022212220200.

The previous prime is 1022212220143. The next prime is 1022212220273. The reversal of 1022212220201 is 1020222122201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1016670906601 + 5541313600 = 1008301^2 + 74440^2 .

It is an emirp because it is prime and its reverse (1020222122201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022212220201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1022212220201.

It is not a weakly prime, because it can be changed into another prime (1022212220291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511106110100 + 511106110101.

It is an arithmetic number, because the mean of its divisors is an integer number (511106110101).

Almost surely, 21022212220201 is an apocalyptic number.

It is an amenable number.

1022212220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022212220201 is an equidigital number, since it uses as much as digits as its factorization.

1022212220201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1022212220201 its reverse (1020222122201), we get a palindrome (2042434342402).

The spelling of 1022212220201 in words is "one trillion, twenty-two billion, two hundred twelve million, two hundred twenty thousand, two hundred one".