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110112022200123 = 343183647816593
BaseRepresentation
bin11001000010010101110011…
…111101111111111100111011
3112102212121101011002011120000
4121002111303331333330323
5103413033410140400443
61030104433100204043
732123221362513306
oct3102256375777473
9472777334064500
10110112022200123
11320a3278a10179
1210424545539623
134959699719388
141d2964391bb3d
15cae3ee1058d3
hex642573f7ff3b

110112022200123 has 80 divisors (see below), whose sum is σ = 172105926322176. Its totient is φ = 70075548506880.

The previous prime is 110112022200119. The next prime is 110112022200133. The reversal of 110112022200123 is 321002220211011.

110112022200123 is a `hidden beast` number, since 110 + 11 + 202 + 220 + 0 + 123 = 666.

It is not a de Polignac number, because 110112022200123 - 22 = 110112022200119 is a prime.

It is a super-2 number, since 2×1101120222001232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110112022200096 and 110112022200105.

It is not an unprimeable number, because it can be changed into a prime (110112022200133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134434915 + ... + 135251507.

Almost surely, 2110112022200123 is an apocalyptic number.

110112022200123 is a deficient number, since it is larger than the sum of its proper divisors (61993904122053).

110112022200123 is an equidigital number, since it uses as much as digits as its factorization.

110112022200123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817366 (or 817357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110112022200123 its reverse (321002220211011), we get a palindrome (431114242411134).

The spelling of 110112022200123 in words is "one hundred ten trillion, one hundred twelve billion, twenty-two million, two hundred thousand, one hundred twenty-three".

Divisors: 1 3 9 27 31 81 83 93 249 279 647 747 837 1941 2241 2511 2573 5823 6723 7719 17469 20057 23157 52407 53701 60171 69471 161103 180513 208413 483309 541539 816593 1449927 1624617 1664731 2449779 4349781 4994193 7349337 14982579 22048011 25314383 44947737 66144033 67777219 75943149 134843211 203331657 227829447 528335671 609994971 683488341 1585007013 1829984913 2050465023 2101093789 4755021039 5489954739 6303281367 14265063117 16378405801 18909844101 42795189351 43851860693 49135217403 56729532303 131555582079 147405652209 170188596909 394666746237 442216956627 1184000238711 1326650869881 1359407681483 3552000716133 4078223044449 12234669133347 36704007400041 110112022200123