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136000313 is a prime number
BaseRepresentation
bin10000001101100…
…11001100111001
3100110220112100122
420012303030321
5234304002223
621254543025
73240661241
oct1006631471
9313815318
10136000313
116a850059
1239667a75
1322239977
14140c2b21
15be165c8
hex81b3339

136000313 has 2 divisors, whose sum is σ = 136000314. Its totient is φ = 136000312.

The previous prime is 136000307. The next prime is 136000331. The reversal of 136000313 is 313000631.

Together with next prime (136000331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75829264 + 60171049 = 8708^2 + 7757^2 .

It is a cyclic number.

It is not a de Polignac number, because 136000313 - 24 = 136000297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136000291 and 136000300.

It is not a weakly prime, because it can be changed into another prime (136000303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68000156 + 68000157.

It is an arithmetic number, because the mean of its divisors is an integer number (68000157).

Almost surely, 2136000313 is an apocalyptic number.

It is an amenable number.

136000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

136000313 is an equidigital number, since it uses as much as digits as its factorization.

136000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 136000313 is about 11661.9172094472. The cubic root of 136000313 is about 514.2567126466.

Adding to 136000313 its reverse (313000631), we get a palindrome (449000944).

The spelling of 136000313 in words is "one hundred thirty-six million, three hundred thirteen", and thus it is an aban number.