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12542230505115 = 355831031207489
BaseRepresentation
bin1011011010000011011100…
…1100011010011010011011
31122102000200121102202100000
42312200313030122122123
53120442442002130430
642401453211344043
72433101110163133
oct266406714323233
948360617382300
1012542230505115
113aa61481658a3
1214a6927752023
136cc95ba4240c
1431509370bac3
1516b3bb280e60
hexb683731a69b

12542230505115 has 96 divisors (see below), whose sum is σ = 23038213685760. Its totient is φ = 6544430401536.

The previous prime is 12542230505083. The next prime is 12542230505173. The reversal of 12542230505115 is 51150503224521.

12542230505115 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 2 + 2 + 30 + 505 + 115 = 666.

It is not a de Polignac number, because 12542230505115 - 25 = 12542230505083 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12542230505115.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9783291 + ... + 10990779.

It is an arithmetic number, because the mean of its divisors is an integer number (239981392560).

Almost surely, 212542230505115 is an apocalyptic number.

12542230505115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12542230505115 is a deficient number, since it is larger than the sum of its proper divisors (10495983180645).

12542230505115 is a wasteful number, since it uses less digits than its factorization.

12542230505115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207695 (or 1207683 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 12542230505115 its reverse (51150503224521), we get a palindrome (63692733729636).

The spelling of 12542230505115 in words is "twelve trillion, five hundred forty-two billion, two hundred thirty million, five hundred five thousand, one hundred fifteen".

Divisors: 1 3 5 9 15 27 45 81 83 103 135 243 249 309 405 415 515 747 927 1215 1245 1545 2241 2781 3735 4635 6723 8343 8549 11205 13905 20169 25029 25647 33615 41715 42745 76941 100845 125145 128235 230823 384705 692469 1154115 1207489 2077407 3462345 3622467 6037445 10387035 10867401 18112335 32602203 54337005 97806609 100221587 124371367 163011015 293419827 300664761 373114101 489033045 501107935 621856835 901994283 1119342303 1467099135 1503323805 1865570505 2705982849 3358026909 4509971415 5596711515 8117948547 10074080727 10322823461 13529914245 16790134545 24353845641 30222242181 30968470383 40589742735 50370403635 51614117305 92905411149 121769228205 151111210905 154842351915 278716233447 464527055745 836148700341 1393581167235 2508446101023 4180743501705 12542230505115