Search a number
-
+
231131241217 is a prime number
BaseRepresentation
bin1101011101000001111…
…1101101101100000001
3211002120221012121002101
43113100133231230001
512241324044204332
6254102532350401
722461435064132
oct3272037555401
9732527177071
10231131241217
118a027618528
1238965475401
1318a45b82b76
14b28887bc89
15602b555ae7
hex35d07edb01

231131241217 has 2 divisors, whose sum is σ = 231131241218. Its totient is φ = 231131241216.

The previous prime is 231131241169. The next prime is 231131241247. The reversal of 231131241217 is 712142131132.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220795672321 + 10335568896 = 469889^2 + 101664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231131241217 is a prime.

It is a super-2 number, since 2×2311312412172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (231131241247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115565620608 + 115565620609.

It is an arithmetic number, because the mean of its divisors is an integer number (115565620609).

Almost surely, 2231131241217 is an apocalyptic number.

It is an amenable number.

231131241217 is a deficient number, since it is larger than the sum of its proper divisors (1).

231131241217 is an equidigital number, since it uses as much as digits as its factorization.

231131241217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 28.

Adding to 231131241217 its reverse (712142131132), we get a palindrome (943273372349).

The spelling of 231131241217 in words is "two hundred thirty-one billion, one hundred thirty-one million, two hundred forty-one thousand, two hundred seventeen".