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112323883221 = 33112999126107
BaseRepresentation
bin110100010011100000…
…1100111000011010101
3101201221001012110212000
41220213001213003111
53320014403230341
6123333442345513
711054330153124
oct1504701470325
9351831173760
10112323883221
11436aa9a3a60
121992905b299
13a790ab4b34
145617aababb
152dc61358b6
hex1a270670d5

112323883221 has 32 divisors (see below), whose sum is σ = 181595520000. Its totient is φ = 68051841840.

The previous prime is 112323883193. The next prime is 112323883247. The reversal of 112323883221 is 122388323211.

112323883221 is a `hidden beast` number, since 1 + 1 + 2 + 323 + 8 + 8 + 322 + 1 = 666.

It is not a de Polignac number, because 112323883221 - 26 = 112323883157 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112323883271) 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, 827650 + ... + 953756.

It is an arithmetic number, because the mean of its divisors is an integer number (5674860000).

Almost surely, 2112323883221 is an apocalyptic number.

112323883221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112323883221 is a deficient number, since it is larger than the sum of its proper divisors (69271636779).

112323883221 is a wasteful number, since it uses less digits than its factorization.

112323883221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129126 (or 129120 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

It can be divided in two parts, 11 and 2323883221, that added together give a palindrome (2323883232).

The spelling of 112323883221 in words is "one hundred twelve billion, three hundred twenty-three million, eight hundred eighty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 2999 8997 26991 32989 80973 98967 126107 296901 378321 890703 1134963 1387177 3404889 4161531 12484593 37453779 378194893 1134584679 3403754037 4160143823 10211262111 12480431469 37441294407 112323883221