Search a number
-
+
243131132441 is a prime number
BaseRepresentation
bin1110001001101110111…
…1101010101000011001
3212020120020010020020002
43202123233222220121
512440413032214231
6303405355542345
723365005345551
oct3423357525031
9766506106202
10243131132441
11941252053aa
123b15415a9b5
1319c08caa012
14baa646c161
1564ceca40cb
hex389bbeaa19

243131132441 has 2 divisors, whose sum is σ = 243131132442. Its totient is φ = 243131132440.

The previous prime is 243131132381. The next prime is 243131132479. The reversal of 243131132441 is 144231131342.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231010003225 + 12121129216 = 480635^2 + 110096^2 .

It is a cyclic number.

It is not a de Polignac number, because 243131132441 - 222 = 243126938137 is a prime.

It is a super-2 number, since 2×2431311324412 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (243131102441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121565566220 + 121565566221.

It is an arithmetic number, because the mean of its divisors is an integer number (121565566221).

Almost surely, 2243131132441 is an apocalyptic number.

It is an amenable number.

243131132441 is a deficient number, since it is larger than the sum of its proper divisors (1).

243131132441 is an equidigital number, since it uses as much as digits as its factorization.

243131132441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 29.

Adding to 243131132441 its reverse (144231131342), we get a palindrome (387362263783).

The spelling of 243131132441 in words is "two hundred forty-three billion, one hundred thirty-one million, one hundred thirty-two thousand, four hundred forty-one".