211112306031 has 64 divisors (see below), whose sum is σ = 331631594496. Its totient is φ = 118034380800.

The previous prime is 211112306011. The next prime is 211112306063. The reversal of 211112306031 is 130603211112.

211112306031 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 211112306031 - 2²² = 211108111727 is a prime.

It is a super-2 number, since 2×211112306031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211112305989 and 211112306007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112306011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6875445 + ... + 6906081.

It is an arithmetic number, because the mean of its divisors is an integer number (5181743664).

Almost surely, 2^211112306031 is an apocalyptic number.

211112306031 is a deficient number, since it is larger than the sum of its proper divisors (120519288465).

211112306031 is a wasteful number, since it uses less digits than its factorization.

211112306031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30912.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 211112306031 its reverse (130603211112), we get a palindrome (341715517143).

The spelling of 211112306031 in words is "two hundred eleven billion, one hundred twelve million, three hundred six thousand, thirty-one".