1000110312 has 24 divisors (see below), whose sum is σ = 2708632290. Its totient is φ = 333370080.

The previous prime is 1000110283. The next prime is 1000110317. The reversal of 1000110312 is 2130110001.

It can be written as a sum of positive squares in only one way, i.e., 867538116 + 132572196 = 29454^2 + 11514^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000110294 and 1000110303.

It is not an unprimeable number, because it can be changed into a prime (1000110317) 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 5 ways as a sum of consecutive naturals, for example, 6945139 + ... + 6945282.

Almost surely, 2^1000110312 is an apocalyptic number.

1000110312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000110312 is an abundant number, since it is smaller than the sum of its proper divisors (1708521978).

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

1000110312 is a wasteful number, since it uses less digits than its factorization.

1000110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13890433 (or 13890426 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1000110312 is about 31624.5207394515. The cubic root of 1000110312 is about 1000.0367693147.

Adding to 1000110312 its reverse (2130110001), we get a palindrome (3130220313).

The spelling of 1000110312 in words is "one billion, one hundred ten thousand, three hundred twelve".