34102322320143 has 64 divisors (see below), whose sum is σ = 58523381858304. Its totient is φ = 17142527232000.

The previous prime is 34102322320103. The next prime is 34102322320207.

It is a happy number.

34102322320143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34102322320143 - 2¹⁰ = 34102322319119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34102322320143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102322320103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84175983 + ... + 84580143.

It is an arithmetic number, because the mean of its divisors is an integer number (914427841536).

Almost surely, 2^{34102322320143} is an apocalyptic number.

34102322320143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34102322320143 is a deficient number, since it is larger than the sum of its proper divisors (24421059538161).

34102322320143 is a wasteful number, since it uses less digits than its factorization.

34102322320143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415996.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 3410232 and 2320143, that added together give a palindrome (5730375).

The spelling of 34102322320143 in words is "thirty-four trillion, one hundred two billion, three hundred twenty-two million, three hundred twenty thousand, one hundred forty-three".