Search a number
-
+
2122133231 is a prime number
BaseRepresentation
bin111111001111101…
…0010111011101111
312110220011112112002
41332133102323233
513321231230411
6550324402515
7103405556231
oct17637227357
95426145462
102122133231
11999986119
124b284643b
1327a86a24a
14161bac251
15c648a33b
hex7e7d2eef

2122133231 has 2 divisors, whose sum is σ = 2122133232. Its totient is φ = 2122133230.

The previous prime is 2122133207. The next prime is 2122133243. The reversal of 2122133231 is 1323312212.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122133231 is a prime.

It is a super-2 number, since 2×21221332312 = 9006898900228998722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122133201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061066615 + 1061066616.

It is an arithmetic number, because the mean of its divisors is an integer number (1061066616).

Almost surely, 22122133231 is an apocalyptic number.

2122133231 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122133231 is an equidigital number, since it uses as much as digits as its factorization.

2122133231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 20.

The square root of 2122133231 is about 46066.6173166644. The cubic root of 2122133231 is about 1285.0623962999.

Adding to 2122133231 its reverse (1323312212), we get a palindrome (3445445443).

The spelling of 2122133231 in words is "two billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred thirty-one".