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10311323313 = 319832179523
BaseRepresentation
bin10011001101001101…
…00100111010110001
3222121121120111102110
421212212210322301
5132104144321223
64423103235533
7513344542044
oct114646447261
928547514373
1010311323313
114411522905
121bb92a8ba9
13c84351255
146db642c5b
154053a6d93
hex2669a4eb1

10311323313 has 16 divisors (see below), whose sum is σ = 14646401280. Its totient is φ = 6433948944.

The previous prime is 10311323303. The next prime is 10311323329. The reversal of 10311323313 is 31332311301.

10311323313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10311323313 - 210 = 10311322289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10311323313.

It is not an unprimeable number, because it can be changed into a prime (10311323303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1085031 + ... + 1094492.

It is an arithmetic number, because the mean of its divisors is an integer number (915400080).

Almost surely, 210311323313 is an apocalyptic number.

It is an amenable number.

10311323313 is a deficient number, since it is larger than the sum of its proper divisors (4335077967).

10311323313 is a wasteful number, since it uses less digits than its factorization.

10311323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179628.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10311323313 its reverse (31332311301), we get a palindrome (41643634614).

The spelling of 10311323313 in words is "ten billion, three hundred eleven million, three hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 3 19 57 83 249 1577 4731 2179523 6538569 41410937 124232811 180900409 542701227 3437107771 10311323313