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413214222412331 is a prime number
BaseRepresentation
bin101110111110100001110111…
…0111100010110101000101011
32000012001220010122000201211222
41131331003232330112220223
5413130100211414143311
64022455554305212255
7153015512432111024
oct13575035674265053
92005056118021758
10413214222412331
1110a73219309646a
123a41782703108b
1314974c1ac37922
1474079645a1c4b
1532b89b4652adb
hex177d0eef16a2b

413214222412331 has 2 divisors, whose sum is σ = 413214222412332. Its totient is φ = 413214222412330.

The previous prime is 413214222412307. The next prime is 413214222412373. The reversal of 413214222412331 is 133214222412314.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413214222412331 is a prime.

It is a super-2 number, since 2×4132142224123312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413214222412291 and 413214222412300.

It is not a weakly prime, because it can be changed into another prime (413214228412331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206607111206165 + 206607111206166.

It is an arithmetic number, because the mean of its divisors is an integer number (206607111206166).

Almost surely, 2413214222412331 is an apocalyptic number.

413214222412331 is a deficient number, since it is larger than the sum of its proper divisors (1).

413214222412331 is an equidigital number, since it uses as much as digits as its factorization.

413214222412331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55296, while the sum is 35.

Adding to 413214222412331 its reverse (133214222412314), we get a palindrome (546428444824645).

The spelling of 413214222412331 in words is "four hundred thirteen trillion, two hundred fourteen billion, two hundred twenty-two million, four hundred twelve thousand, three hundred thirty-one".