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11986313 is a prime number
BaseRepresentation
bin101101101110…
…010110001001
3211112222010112
4231232112021
511032030223
61104524105
7203611343
oct55562611
924488115
1011986313
116847549
124020635
1326389c1
141840293
1510bb778
hexb6e589

11986313 has 2 divisors, whose sum is σ = 11986314. Its totient is φ = 11986312.

The previous prime is 11986237. The next prime is 11986319. The reversal of 11986313 is 31368911.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11641744 + 344569 = 3412^2 + 587^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11986313 is a prime.

It is equal to p787235 and since 11986313 and 787235 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11986313.

It is not a weakly prime, because it can be changed into another prime (11986319) 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, 5993156 + 5993157.

It is an arithmetic number, because the mean of its divisors is an integer number (5993157).

Almost surely, 211986313 is an apocalyptic number.

It is an amenable number.

11986313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11986313 is an equidigital number, since it uses as much as digits as its factorization.

11986313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 32.

The square root of 11986313 is about 3462.1255032133. The cubic root of 11986313 is about 228.8557725974.

The spelling of 11986313 in words is "eleven million, nine hundred eighty-six thousand, three hundred thirteen".