22727307100113 has 160 divisors (see below), whose sum is σ = 43467689041920. Its totient is φ = 11492745264000.

The previous prime is 22727307100093. The next prime is 22727307100117. The reversal of 22727307100113 is 31100170372722.

22727307100113 is a `hidden beast` number, since 227 + 2 + 7 + 307 + 10 + 0 + 113 = 666.

It is not a de Polignac number, because 22727307100113 - 2¹⁶ = 22727307034577 is a prime.

It is a super-2 number, since 2×22727307100113² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22727307100117) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34658503 + ... + 35308163.

It is an arithmetic number, because the mean of its divisors is an integer number (271673056512).

Almost surely, 2^{22727307100113} is an apocalyptic number.

It is an amenable number.

22727307100113 is a deficient number, since it is larger than the sum of its proper divisors (20740381941807).

22727307100113 is a wasteful number, since it uses less digits than its factorization.

22727307100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649841 (or 649832 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

Adding to 22727307100113 its reverse (31100170372722), we get a palindrome (53827477472835).

The spelling of 22727307100113 in words is "twenty-two trillion, seven hundred twenty-seven billion, three hundred seven million, one hundred thousand, one hundred thirteen".