Search a number
-
+
122214203281 is a prime number
BaseRepresentation
bin111000111010010001…
…0001011111110010001
3102200110022120210101101
41301310202023332101
54000243314001111
6132051110304401
711554403405362
oct1616442137621
9380408523341
10122214203281
1147915805895
121b829358101
13b6a8b4c821
145cb543db69
1532a457abc1
hex1c7488bf91

122214203281 has 2 divisors, whose sum is σ = 122214203282. Its totient is φ = 122214203280.

The previous prime is 122214203273. The next prime is 122214203303. The reversal of 122214203281 is 182302412221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96587316225 + 25626887056 = 310785^2 + 160084^2 .

It is an emirp because it is prime and its reverse (182302412221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122214203281 - 23 = 122214203273 is a prime.

It is a super-2 number, since 2×1222142032812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122214203231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61107101640 + 61107101641.

It is an arithmetic number, because the mean of its divisors is an integer number (61107101641).

Almost surely, 2122214203281 is an apocalyptic number.

It is an amenable number.

122214203281 is a deficient number, since it is larger than the sum of its proper divisors (1).

122214203281 is an equidigital number, since it uses as much as digits as its factorization.

122214203281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 122214203281 in words is "one hundred twenty-two billion, two hundred fourteen million, two hundred three thousand, two hundred eighty-one".