Search a number
-
+
212431264117 is a prime number
BaseRepresentation
bin1100010111010111100…
…0111101100101110101
3202022022200220022222221
43011311320331211311
511440024400422432
6241331203122341
721230146644352
oct3056570754565
9668280808887
10212431264117
1182100a019a6
12352069733b1
1317055920767
14a3d30c1629
1557d49d1b97
hex3175e3d975

212431264117 has 2 divisors, whose sum is σ = 212431264118. Its totient is φ = 212431264116.

The previous prime is 212431264109. The next prime is 212431264139. The reversal of 212431264117 is 711462134212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193207718916 + 19223545201 = 439554^2 + 138649^2 .

It is a cyclic number.

It is not a de Polignac number, because 212431264117 - 23 = 212431264109 is a prime.

It is a super-2 number, since 2×2124312641172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212431264147) 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, 106215632058 + 106215632059.

It is an arithmetic number, because the mean of its divisors is an integer number (106215632059).

Almost surely, 2212431264117 is an apocalyptic number.

It is an amenable number.

212431264117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212431264117 is an equidigital number, since it uses as much as digits as its factorization.

212431264117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 34.

Adding to 212431264117 its reverse (711462134212), we get a palindrome (923893398329).

The spelling of 212431264117 in words is "two hundred twelve billion, four hundred thirty-one million, two hundred sixty-four thousand, one hundred seventeen".