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112186248241 = 17231136593853
BaseRepresentation
bin110100001111011010…
…0100100110000110001
3101201120110012220011011
41220132310210300301
53314224134420431
6123312044350521
711051036243014
oct1503664446061
9351513186134
10112186248241
114363a237841
12198aab45441
13a76b425112
1456036c137b
152db8ee9cb1
hex1a1ed24c31

112186248241 has 32 divisors (see below), whose sum is σ = 125269182720. Its totient is φ = 99924701184.

The previous prime is 112186248221. The next prime is 112186248253. The reversal of 112186248241 is 142842681211.

It is a cyclic number.

It is not a de Polignac number, because 112186248241 - 27 = 112186248113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112186248194 and 112186248203.

It is not an unprimeable number, because it can be changed into a prime (112186248221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29114671 + ... + 29118523.

It is an arithmetic number, because the mean of its divisors is an integer number (3914661960).

Almost surely, 2112186248241 is an apocalyptic number.

It is an amenable number.

112186248241 is a deficient number, since it is larger than the sum of its proper divisors (13082934479).

112186248241 is a wasteful number, since it uses less digits than its factorization.

112186248241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665.

The product of its digits is 49152, while the sum is 40.

The spelling of 112186248241 in words is "one hundred twelve billion, one hundred eighty-six million, two hundred forty-eight thousand, two hundred forty-one".

Divisors: 1 17 23 113 391 659 1921 2599 3853 11203 15157 44183 65501 74467 88619 257669 435389 1265939 1506523 1712741 2539127 7401613 10013947 29116597 43165159 58399921 170237099 286921351 992798657 4877662967 6599191073 112186248241