Search a number
-
+
2122207313 is a prime number
BaseRepresentation
bin111111001111110…
…0101000001010001
312110220022022010212
41332133211001101
513321241113223
6550330133505
7103406315222
oct17637450121
95426268125
102122207313
11999a26846
124b2881295
1327a894b95
14161bcb249
15c64a2278
hex7e7e5051

2122207313 has 2 divisors, whose sum is σ = 2122207314. Its totient is φ = 2122207312.

The previous prime is 2122207279. The next prime is 2122207333. The reversal of 2122207313 is 3137022212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1744565824 + 377641489 = 41768^2 + 19433^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122207313 - 28 = 2122207057 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122207333) 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, 1061103656 + 1061103657.

It is an arithmetic number, because the mean of its divisors is an integer number (1061103657).

Almost surely, 22122207313 is an apocalyptic number.

It is an amenable number.

2122207313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122207313 is an equidigital number, since it uses as much as digits as its factorization.

2122207313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2122207313 is about 46067.4213843145. The cubic root of 2122207313 is about 1285.0773496314.

Adding to 2122207313 its reverse (3137022212), we get a palindrome (5259229525).

The spelling of 2122207313 in words is "two billion, one hundred twenty-two million, two hundred seven thousand, three hundred thirteen".