34130056221 has 12 divisors (see below), whose sum is σ = 49340309148. Its totient is φ = 22734291264.

The previous prime is 34130056217. The next prime is 34130056243. The reversal of 34130056221 is 12265003143.

34130056221 is a `hidden beast` number, since 3 + 4 + 1 + 30 + 0 + 5 + 622 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5607912996 + 28522143225 = 74886^2 + 168885^2 .

It is not a de Polignac number, because 34130056221 - 2² = 34130056217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130056271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1578630 + ... + 1600103.

It is an arithmetic number, because the mean of its divisors is an integer number (4111692429).

Almost surely, 2^34130056221 is an apocalyptic number.

It is an amenable number.

34130056221 is a deficient number, since it is larger than the sum of its proper divisors (15210252927).

34130056221 is a wasteful number, since it uses less digits than its factorization.

34130056221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179932 (or 3179929 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34130056221 its reverse (12265003143), we get a palindrome (46395059364).

The spelling of 34130056221 in words is "thirty-four billion, one hundred thirty million, fifty-six thousand, two hundred twenty-one".