34202133120243 has 8 divisors (see below), whose sum is σ = 49748557265856. Its totient is φ = 20728565527400.

The previous prime is 34202133120223. The next prime is 34202133120257.

It is a happy number.

34202133120243 is nontrivially palindromic in base 10.

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 34202133120243 - 2⁹ = 34202133119731 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34202133120243.

It is not an unprimeable number, because it can be changed into a prime (34202133120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 518214138153 + ... + 518214138218.

It is an arithmetic number, because the mean of its divisors is an integer number (6218569658232).

Almost surely, 2^{34202133120243} is an apocalyptic number.

34202133120243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34202133120243 is a deficient number, since it is larger than the sum of its proper divisors (15546424145613).

34202133120243 is a wasteful number, since it uses less digits than its factorization.

34202133120243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036428276385.

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

It can be divided in two parts, 3420213 and 3120243, that added together give a palindrome (6540456).

The spelling of 34202133120243 in words is "thirty-four trillion, two hundred two billion, one hundred thirty-three million, one hundred twenty thousand, two hundred forty-three".