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112899127207681 = 2997710973632381
BaseRepresentation
bin11001101010111001100000…
…010111110110011100000001
3112210202001101021212021100001
4121222321200113312130001
5104244214403031121211
61040041050521200001
732531456422265263
oct3152714027663401
9483661337767301
10112899127207681
1132a78284042001
12107b4735330001
134acc45a533269
141dc44bdcddb33
15d0bb732b6ac1
hex66ae605f6701

112899127207681 has 16 divisors (see below), whose sum is σ = 117018348492240. Its totient is φ = 108795185981440.

The previous prime is 112899127207667. The next prime is 112899127207693. The reversal of 112899127207681 is 186702721998211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 450939110400 + 112448188097281 = 671520^2 + 10604159^2 .

It is a cyclic number.

It is not a de Polignac number, because 112899127207681 - 219 = 112899126683393 is a prime.

It is a super-2 number, since 2×1128991272076812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112899127207621) 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 15 ways as a sum of consecutive naturals, for example, 29265111 + ... + 32897491.

It is an arithmetic number, because the mean of its divisors is an integer number (7313646780765).

Almost surely, 2112899127207681 is an apocalyptic number.

It is an amenable number.

112899127207681 is a deficient number, since it is larger than the sum of its proper divisors (4119221284559).

112899127207681 is a wasteful number, since it uses less digits than its factorization.

112899127207681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634484.

The product of its (nonzero) digits is 12192768, while the sum is 64.

The spelling of 112899127207681 in words is "one hundred twelve trillion, eight hundred ninety-nine billion, one hundred twenty-seven million, two hundred seven thousand, six hundred eighty-one".

Divisors: 1 29 977 1097 28333 31813 1071769 3632381 31081301 105339049 3548836237 3984721957 102916250873 115556936753 3893073351989 112899127207681