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112023311103232 = 282837459207301
BaseRepresentation
bin11001011110001001110101…
…101010100011010100000000
3112200122022202011100101001221
4121132021311222203110000
5104140342220120300412
61034130444302404424
732411263036236664
oct3136116552432400
9480568664311057
10112023311103232
113276a901748951
1210692a50290714
134a679a31ac529
141d93d587428a4
15ce3eb3ea3b07
hex65e275aa3500

112023311103232 has 72 divisors (see below), whose sum is σ = 224430336042080. Its totient is φ = 55805982566400.

The previous prime is 112023311103217. The next prime is 112023311103257. The reversal of 112023311103232 is 232301113320211.

112023311103232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112023311103197 and 112023311103206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540285982 + ... + 540493282.

Almost surely, 2112023311103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112023311103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112215168021040).

112023311103232 is an abundant number, since it is smaller than the sum of its proper divisors (112407024938848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112023311103232 is an equidigital number, since it uses as much as digits as its factorization.

112023311103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215059 (or 215045 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 112023311103232 its reverse (232301113320211), we get a palindrome (344324424423443).

The spelling of 112023311103232 in words is "one hundred twelve trillion, twenty-three billion, three hundred eleven million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 283 566 1132 2264 4528 7459 9056 14918 18112 29836 36224 59672 72448 119344 207301 238688 414602 477376 829204 954752 1658408 1909504 2110897 3316816 4221794 6633632 8443588 13267264 16887176 26534528 33774352 53069056 58666183 67548704 117332366 135097408 234664732 270194816 469329464 540389632 938658928 1546258159 1877317856 3092516318 3754635712 6185032636 7509271424 12370065272 15018542848 24740130544 49480261088 98960522176 197921044352 395842088704 437591058997 875182117994 1750364235988 3500728471976 7001456943952 14002913887904 28005827775808 56011655551616 112023311103232