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313148329 = 13193140897
BaseRepresentation
bin10010101010100…
…100001110101001
3210211020120202021
4102222210032221
51120131221304
651023504441
710521500614
oct2252441651
9724216667
10313148329
11150844a7a
1288a58121
134cb52690
142d83717b
151c759a54
hex12aa43a9

313148329 has 16 divisors (see below), whose sum is σ = 366446080. Its totient is φ = 265006080.

The previous prime is 313148323. The next prime is 313148377. The reversal of 313148329 is 923841313.

It is a cyclic number.

It is not a de Polignac number, because 313148329 - 23 = 313148321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313148294 and 313148303.

It is not an unprimeable number, because it can be changed into a prime (313148321) 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 15 ways as a sum of consecutive naturals, for example, 12792 + ... + 28105.

It is an arithmetic number, because the mean of its divisors is an integer number (22902880).

Almost surely, 2313148329 is an apocalyptic number.

It is an amenable number.

313148329 is a deficient number, since it is larger than the sum of its proper divisors (53297751).

313148329 is a wasteful number, since it uses less digits than its factorization.

313148329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40960.

The product of its digits is 15552, while the sum is 34.

The square root of 313148329 is about 17695.9975418172. The cubic root of 313148329 is about 679.0733694937.

The spelling of 313148329 in words is "three hundred thirteen million, one hundred forty-eight thousand, three hundred twenty-nine".

Divisors: 1 13 19 31 247 403 589 7657 40897 531661 777043 1267807 10101559 16481491 24088333 313148329