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68312013 = 3711734051
BaseRepresentation
bin1000001001001…
…01101111001101
311202112121110120
410010211233031
5114441441023
610440055153
71456433250
oct404455715
9152477416
1068312013
1135618910
121aa644b9
13111ca413
149103097
155ee58e3
hex4125bcd

68312013 has 32 divisors (see below), whose sum is σ = 115141632. Its totient is φ = 34992000.

The previous prime is 68311987. The next prime is 68312017. The reversal of 68312013 is 31021386.

It is not a de Polignac number, because 68312013 - 212 = 68307917 is a prime.

It is a super-2 number, since 2×683120132 = 9333062240224338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68312017) 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 in 31 ways as a sum of consecutive naturals, for example, 14838 + ... + 18888.

It is an arithmetic number, because the mean of its divisors is an integer number (3598176).

Almost surely, 268312013 is an apocalyptic number.

It is an amenable number.

68312013 is a deficient number, since it is larger than the sum of its proper divisors (46829619).

68312013 is a wasteful number, since it uses less digits than its factorization.

68312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 68312013 is about 8265.1081662613. The cubic root of 68312013 is about 408.7888369424.

Adding to 68312013 its reverse (31021386), we get a palindrome (99333399).

The spelling of 68312013 in words is "sixty-eight million, three hundred twelve thousand, thirteen".

Divisors: 1 3 7 11 21 33 73 77 219 231 511 803 1533 2409 4051 5621 12153 16863 28357 44561 85071 133683 295723 311927 887169 935781 2070061 3252953 6210183 9758859 22770671 68312013