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13110320196 = 22325314534729
BaseRepresentation
bin11000011010110111…
…11001110001000100
31020211200101021022200
430031123321301010
5203322220221241
610004531354500
7642612611601
oct141533716104
936750337280
1013110320196
115618485676
12265a752a30
13130c1b9a1c
148c52856a8
1551ae944b6
hex30d6f9c44

13110320196 has 72 divisors (see below), whose sum is σ = 33795641880. Its totient is φ = 4283794944.

The previous prime is 13110320189. The next prime is 13110320221. The reversal of 13110320196 is 69102301131.

13110320196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3017304900 + 10093015296 = 54930^2 + 100464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2769960 + ... + 2774688.

It is an arithmetic number, because the mean of its divisors is an integer number (469383915).

Almost surely, 213110320196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110320196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16897820940).

13110320196 is an abundant number, since it is smaller than the sum of its proper divisors (20685321684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13110320196 is a wasteful number, since it uses less digits than its factorization.

13110320196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 13110320196 in words is "thirteen billion, one hundred ten million, three hundred twenty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1453 1908 2906 4359 4729 5812 8718 9458 13077 14187 17436 18916 26154 28374 42561 52308 56748 77009 85122 154018 170244 231027 250637 308036 462054 501274 693081 751911 924108 1002548 1386162 1503822 2255733 2772324 3007644 4511466 6871237 9022932 13742474 20613711 27484948 41227422 61841133 82454844 123682266 247364532 364175561 728351122 1092526683 1456702244 2185053366 3277580049 4370106732 6555160098 13110320196