3106127781241 has 81 divisors (see below), whose sum is σ = 3554672606541. Its totient is φ = 2713507967808.

The previous prime is 3106127781227. The next prime is 3106127781247. The reversal of 3106127781241 is 1421877216013.

The square root of 3106127781241 is 1762421.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1160370612025 + 1945757169216 = 1077205^2 + 1394904^2 .

It is not a de Polignac number, because 3106127781241 - 2⁹ = 3106127780729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3106127781247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28496585095 + ... + 28496585203.

Almost surely, 2^{3106127781241} is an apocalyptic number.

3106127781241 is the 1762421-st square number.

3106127781241 is the 881211-st centered octagonal number.

It is an amenable number.

3106127781241 is a deficient number, since it is larger than the sum of its proper divisors (448544825300).

3106127781241 is an equidigital number, since it uses as much as digits as its factorization.

3106127781241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 3106127781241 in words is "three trillion, one hundred six billion, one hundred twenty-seven million, seven hundred eighty-one thousand, two hundred forty-one".