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112511031113 = 1361173820117
BaseRepresentation
bin110100011001000101…
…1100001011101001001
3101202102002100120111102
41220302023201131021
53320410310443423
6123404205511145
711062061661605
oct1506213413511
9352362316442
10112511031113
11437965a8a38
121997b8724b5
13a7c07bc330
1456348a6505
152dd77a1c28
hex1a322e1749

112511031113 has 16 divisors (see below), whose sum is σ = 123864061776. Its totient is φ = 101563165440.

The previous prime is 112511031091. The next prime is 112511031203. The reversal of 112511031113 is 311130115211.

It can be written as a sum of positive squares in 8 ways, for example, as 20548649104 + 91962382009 = 143348^2 + 303253^2 .

It is a cyclic number.

It is not a de Polignac number, because 112511031113 - 224 = 112494253897 is a prime.

It is a super-2 number, since 2×1125110311132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112511031013) 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 15 ways as a sum of consecutive naturals, for example, 272870 + ... + 547247.

It is an arithmetic number, because the mean of its divisors is an integer number (7741503861).

Almost surely, 2112511031113 is an apocalyptic number.

112511031113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112511031113 is a deficient number, since it is larger than the sum of its proper divisors (11353030663).

112511031113 is a wasteful number, since it uses less digits than its factorization.

112511031113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820364.

The product of its (nonzero) digits is 90, while the sum is 20.

Adding to 112511031113 its reverse (311130115211), we get a palindrome (423641146324).

The spelling of 112511031113 in words is "one hundred twelve billion, five hundred eleven million, thirty-one thousand, one hundred thirteen".

Divisors: 1 13 61 173 793 2249 10553 137189 820117 10661521 50027137 141880241 650352781 1844443133 8654694701 112511031113