Search a number
-
+
12431225101313 is a prime number
BaseRepresentation
bin1011010011100101111011…
…0000011001110000000001
31122000102011110011222020002
42310321132300121300001
53112133122111220223
642234454224325345
72422061226624224
oct264713660316001
948012143158202
1012431225101313
113a63064540a57
121489308173855
136c234b165825
1430d962bb15bb
15168570c8ae28
hexb4e5ec19c01

12431225101313 has 2 divisors, whose sum is σ = 12431225101314. Its totient is φ = 12431225101312.

The previous prime is 12431225101303. The next prime is 12431225101319. The reversal of 12431225101313 is 31310152213421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8347176165904 + 4084048935409 = 2889148^2 + 2020903^2 .

It is a cyclic number.

It is not a de Polignac number, because 12431225101313 - 26 = 12431225101249 is a prime.

It is a super-2 number, since 2×124312251013132 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12431225101319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6215612550656 + 6215612550657.

It is an arithmetic number, because the mean of its divisors is an integer number (6215612550657).

Almost surely, 212431225101313 is an apocalyptic number.

It is an amenable number.

12431225101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12431225101313 is an equidigital number, since it uses as much as digits as its factorization.

12431225101313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 12431225101313 its reverse (31310152213421), we get a palindrome (43741377314734).

The spelling of 12431225101313 in words is "twelve trillion, four hundred thirty-one billion, two hundred twenty-five million, one hundred one thousand, three hundred thirteen".