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112355313543 = 33113114981901
BaseRepresentation
bin110100010100011100…
…1100000011110000111
3101202000020100022011000
41220220321200132013
53320100430013133
6123340524144343
711055161256534
oct1505071403607
9352006308130
10112355313543
1143716711030
12199376980b3
13a79746ab65
14561bd2dd8b
152dc8c93413
hex1a28e60787

112355313543 has 64 divisors (see below), whose sum is σ = 188702208000. Its totient is φ = 65454480000.

The previous prime is 112355313533. The next prime is 112355313569. The reversal of 112355313543 is 345313553211.

112355313543 is a `hidden beast` number, since 11 + 23 + 55 + 31 + 3 + 543 = 666.

It is not a de Polignac number, because 112355313543 - 24 = 112355313527 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112355313498 and 112355313507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112355313523) 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 63 ways as a sum of consecutive naturals, for example, 1330893 + ... + 1412793.

It is an arithmetic number, because the mean of its divisors is an integer number (2948472000).

Almost surely, 2112355313543 is an apocalyptic number.

112355313543 is a deficient number, since it is larger than the sum of its proper divisors (76346894457).

112355313543 is a wasteful number, since it uses less digits than its factorization.

112355313543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82101 (or 82095 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

Adding to 112355313543 its reverse (345313553211), we get a palindrome (457668866754).

The spelling of 112355313543 in words is "one hundred twelve billion, three hundred fifty-five million, three hundred thirteen thousand, five hundred forty-three".

Divisors: 1 3 9 11 27 31 33 93 99 149 279 297 341 447 837 1023 1341 1639 3069 4023 4619 4917 9207 13857 14751 41571 44253 50809 81901 124713 152427 245703 457281 737109 900911 1371843 2211327 2538931 2702733 7616793 8108199 12203249 22850379 24324597 27928241 36609747 68551137 83784723 109829241 134235739 251354169 329487723 378300719 402707217 754062507 1134902157 1208121651 3404706471 3624364953 4161307909 10214119413 12483923727 37451771181 112355313543