34131111030 has 48 divisors (see below), whose sum is σ = 89602475040. Its totient is φ = 9013261824.

The previous prime is 34131111029. The next prime is 34131111059. The reversal of 34131111030 is 3011113143.

34131111030 is a `hidden beast` number, since 341 + 311 + 1 + 10 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34131110994 and 34131111012.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1831675 + ... + 1850214.

It is an arithmetic number, because the mean of its divisors is an integer number (1866718230).

Almost surely, 2^34131111030 is an apocalyptic number.

34131111030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34131111030 is an abundant number, since it is smaller than the sum of its proper divisors (55471364010).

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

34131111030 is a wasteful number, since it uses less digits than its factorization.

34131111030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682005 (or 3682002 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 34131111030 its reverse (3011113143), we get a palindrome (37142224173).

It can be divided in two parts, 34131 and 111030, that added together give a square (145161 = 381²).

The spelling of 34131111030 in words is "thirty-four billion, one hundred thirty-one million, one hundred eleven thousand, thirty".