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10311312109 = 72257818813
BaseRepresentation
bin10011001101001101…
…00010001011101101
3222121121112221001111
421212212202023231
5132104143441414
64423103112021
7513344464300
oct114646421355
928547487044
1010311312109
11441151544a
121bb92a2611
13c84349117
146db63cb37
154053a38c4
hex2669a22ed

10311312109 has 12 divisors (see below), whose sum is σ = 12041478684. Its totient is φ = 8803866624.

The previous prime is 10311312049. The next prime is 10311312119. The reversal of 10311312109 is 90121311301.

10311312109 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 2 ways, for example, as 8727670084 + 1583642025 = 93422^2 + 39795^2 .

It is not a de Polignac number, because 10311312109 - 229 = 9774441197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10311312109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311312119) 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 11 ways as a sum of consecutive naturals, for example, 396814 + ... + 421999.

It is an arithmetic number, because the mean of its divisors is an integer number (1003456557).

Almost surely, 210311312109 is an apocalyptic number.

It is an amenable number.

10311312109 is a deficient number, since it is larger than the sum of its proper divisors (1730166575).

10311312109 is an equidigital number, since it uses as much as digits as its factorization.

10311312109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819084 (or 819077 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 10311312109 in words is "ten billion, three hundred eleven million, three hundred twelve thousand, one hundred nine".

Divisors: 1 7 49 257 1799 12593 818813 5731691 40121837 210434941 1473044587 10311312109