34014431101 has 16 divisors (see below), whose sum is σ = 39380889600. Its totient is φ = 28775071728.

The previous prime is 34014431089. The next prime is 34014431119. The reversal of 34014431101 is 10113441043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34014431101 - 2¹⁷ = 34014300029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014431131) 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 15 ways as a sum of consecutive naturals, for example, 1628160 + ... + 1648918.

It is an arithmetic number, because the mean of its divisors is an integer number (2461305600).

Almost surely, 2^34014431101 is an apocalyptic number.

It is an amenable number.

34014431101 is a deficient number, since it is larger than the sum of its proper divisors (5366458499).

34014431101 is a wasteful number, since it uses less digits than its factorization.

34014431101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23808.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 34014431101 its reverse (10113441043), we get a palindrome (44127872144).

The spelling of 34014431101 in words is "thirty-four billion, fourteen million, four hundred thirty-one thousand, one hundred one".