Search a number
-
+
312212132413 is a prime number
BaseRepresentation
bin1001000101100010100…
…10110001001000111101
31002211212121012122001121
410202301102301020331
520103402301214123
6355232301310541
731361623224046
oct4426122611075
91084777178047
10312212132413
11110454678115
1250613265451
1323597c07a6c
141117adbd8cd
1581c488375d
hex48b14b123d

312212132413 has 2 divisors, whose sum is σ = 312212132414. Its totient is φ = 312212132412.

The previous prime is 312212132389. The next prime is 312212132459. The reversal of 312212132413 is 314231212213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311780407129 + 431725284 = 558373^2 + 20778^2 .

It is a cyclic number.

It is not a de Polignac number, because 312212132413 - 29 = 312212131901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312212139413) 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, 156106066206 + 156106066207.

It is an arithmetic number, because the mean of its divisors is an integer number (156106066207).

Almost surely, 2312212132413 is an apocalyptic number.

It is an amenable number.

312212132413 is a deficient number, since it is larger than the sum of its proper divisors (1).

312212132413 is an equidigital number, since it uses as much as digits as its factorization.

312212132413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 25.

Adding to 312212132413 its reverse (314231212213), we get a palindrome (626443344626).

The spelling of 312212132413 in words is "three hundred twelve billion, two hundred twelve million, one hundred thirty-two thousand, four hundred thirteen".