34211100111243 has 16 divisors (see below), whose sum is σ = 49761804438912. Its totient is φ = 20733914952000.

The previous prime is 34211100111157. The next prime is 34211100111283.

34211100111243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34211100111243 - 2⁹ = 34211100110731 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34211100111283) 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, 6562383 + ... + 10558743.

It is an arithmetic number, because the mean of its divisors is an integer number (3110112777432).

Almost surely, 2^{34211100111243} is an apocalyptic number.

34211100111243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34211100111243 is a deficient number, since it is larger than the sum of its proper divisors (15550704327669).

34211100111243 is a wasteful number, since it uses less digits than its factorization.

34211100111243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255786.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 34211100 and 111243, that added together give a palindrome (34322343).

The spelling of 34211100111243 in words is "thirty-four trillion, two hundred eleven billion, one hundred million, one hundred eleven thousand, two hundred forty-three".