34023400011101 has 8 divisors (see below), whose sum is σ = 34860996455544. Its totient is φ = 33186172967680.

The previous prime is 34023400011049. The next prime is 34023400011109. The reversal of 34023400011101 is 10111000432043.

It can be written as a sum of positive squares in 4 ways, for example, as 8659636311076 + 25363763700025 = 2942726^2 + 5036245^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34023400011101 - 2³⁰ = 34022326269277 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023400011109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92163776 + ... + 92532201.

It is an arithmetic number, because the mean of its divisors is an integer number (4357624556943).

Almost surely, 2^{34023400011101} is an apocalyptic number.

It is an amenable number.

34023400011101 is a deficient number, since it is larger than the sum of its proper divisors (837596444443).

34023400011101 is a wasteful number, since it uses less digits than its factorization.

34023400011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184700511.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 34023400011101 its reverse (10111000432043), we get a palindrome (44134400443144).

The spelling of 34023400011101 in words is "thirty-four trillion, twenty-three billion, four hundred million, eleven thousand, one hundred one".