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815013404141 is a prime number
BaseRepresentation
bin10111101110000101001…
…01011001110111101101
32212220200200111200200212
423313002211121313231
5101323121412413031
61422224553432205
7112611535426406
oct13670245316755
92786620450625
10815013404141
11294710901512
12111b5640b665
135bb17509871
142b6382789ad
15163013a312b
hexbdc2959ded

815013404141 has 2 divisors, whose sum is σ = 815013404142. Its totient is φ = 815013404140.

The previous prime is 815013404129. The next prime is 815013404143. The reversal of 815013404141 is 141404310518.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 753779922025 + 61233482116 = 868205^2 + 247454^2 .

It is a cyclic number.

It is not a de Polignac number, because 815013404141 - 226 = 814946295277 is a prime.

Together with 815013404143, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 815013404098 and 815013404107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (815013404143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407506702070 + 407506702071.

It is an arithmetic number, because the mean of its divisors is an integer number (407506702071).

Almost surely, 2815013404141 is an apocalyptic number.

It is an amenable number.

815013404141 is a deficient number, since it is larger than the sum of its proper divisors (1).

815013404141 is an equidigital number, since it uses as much as digits as its factorization.

815013404141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 815013404141 its reverse (141404310518), we get a palindrome (956417714659).

The spelling of 815013404141 in words is "eight hundred fifteen billion, thirteen million, four hundred four thousand, one hundred forty-one".