34002413024101 has 8 divisors (see below), whose sum is σ = 35794058266400. Its totient is φ = 32210972237520.

The previous prime is 34002413024087. The next prime is 34002413024141. The reversal of 34002413024101 is 10142031420043.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34002413024101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002413024141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50772495 + ... + 51437836.

It is an arithmetic number, because the mean of its divisors is an integer number (4474257283300).

Almost surely, 2^{34002413024101} is an apocalyptic number.

It is an amenable number.

34002413024101 is a deficient number, since it is larger than the sum of its proper divisors (1791645242299).

34002413024101 is a wasteful number, since it uses less digits than its factorization.

34002413024101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102227859.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34002413024101 its reverse (10142031420043), we get a palindrome (44144444444144).

The spelling of 34002413024101 in words is "thirty-four trillion, two billion, four hundred thirteen million, twenty-four thousand, one hundred one".