8500100031 has 12 divisors (see below), whose sum is σ = 12279772752. Its totient is φ = 5665879296.

The previous prime is 8500100027. The next prime is 8500100047. The reversal of 8500100031 is 1300010058.

It is a happy number.

It is not a de Polignac number, because 8500100031 - 2² = 8500100027 is a prime.

It is a super-2 number, since 2×8500100031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8500099977 and 8500100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8500100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4891 + ... + 130476.

It is an arithmetic number, because the mean of its divisors is an integer number (1023314396).

Almost surely, 2^8500100031 is an apocalyptic number.

8500100031 is a deficient number, since it is larger than the sum of its proper divisors (3779672721).

8500100031 is a wasteful number, since it uses less digits than its factorization.

8500100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142350 (or 142347 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 8500100031 is about 92195.9870655985. The cubic root of 8500100031 is about 2040.8355566536.

Adding to 8500100031 its reverse (1300010058), we get a palindrome (9800110089).

The spelling of 8500100031 in words is "eight billion, five hundred million, one hundred thousand, thirty-one".