34201322310243 has 48 divisors (see below), whose sum is σ = 52204018745088. Its totient is φ = 19883801044800.

The previous prime is 34201322310193. The next prime is 34201322310283.

It is a happy number.

34201322310243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34201322310243 - 2¹³ = 34201322302051 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34201322310243.

It is not an unprimeable number, because it can be changed into a prime (34201322310283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16979121 + ... + 18886322.

It is an arithmetic number, because the mean of its divisors is an integer number (1087583723856).

Almost surely, 2^{34201322310243} is an apocalyptic number.

34201322310243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34201322310243 is a deficient number, since it is larger than the sum of its proper divisors (18002696434845).

34201322310243 is a wasteful number, since it uses less digits than its factorization.

34201322310243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35865576 (or 35865565 counting only the distinct ones).

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

It can be divided in two parts, 3420132 and 2310243, that added together give a palindrome (5730375).

The spelling of 34201322310243 in words is "thirty-four trillion, two hundred one billion, three hundred twenty-two million, three hundred ten thousand, two hundred forty-three".