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112113221193 = 32101143386069
BaseRepresentation
bin110100001101001110…
…1111111111001001001
3101201101100210201212200
41220122131333321021
53314101441034233
6123300515230413
711046161441121
oct1503235777111
9351340721780
10112113221193
1143601a99506
121988a5a8409
13a75926684c
1455d7b11c81
152db28c2313
hex1a1a77fe49

112113221193 has 24 divisors (see below), whose sum is σ = 163660727880. Its totient is φ = 73949625600.

The previous prime is 112113221191. The next prime is 112113221197. The reversal of 112113221193 is 391122311211.

112113221193 is a `hidden beast` number, since 11 + 211 + 322 + 119 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57594240144 + 54518981049 = 239988^2 + 233493^2 .

It is not a de Polignac number, because 112113221193 - 21 = 112113221191 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112113221191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1259563 + ... + 1345631.

It is an arithmetic number, because the mean of its divisors is an integer number (6819196995).

Almost surely, 2112113221193 is an apocalyptic number.

It is an amenable number.

112113221193 is a deficient number, since it is larger than the sum of its proper divisors (51547506687).

112113221193 is a wasteful number, since it uses less digits than its factorization.

112113221193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87609 (or 87606 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The spelling of 112113221193 in words is "one hundred twelve billion, one hundred thirteen million, two hundred twenty-one thousand, one hundred ninety-three".

Divisors: 1 3 9 101 303 909 1433 4299 12897 86069 144733 258207 434199 774621 1302597 8692969 26078907 78236721 123336877 370010631 1110031893 12457024577 37371073731 112113221193