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112200020032 = 26292272511061
BaseRepresentation
bin110100001111110100…
…1000111000001000000
3101201121102010120111111
41220133221013001000
53314241201120112
6123313255453104
711051264302012
oct1503751070100
9351542116444
10112200020032
1143646a93791
12198b3687194
13a7712376c9
1456054681b2
152dba31a5a7
hex1a1fa47040

112200020032 has 112 divisors (see below), whose sum is σ = 232479616320. Its totient is φ = 53661440000.

The previous prime is 112200019963. The next prime is 112200020033. The reversal of 112200020032 is 230020002211.

It is a junction number, because it is equal to n+sod(n) for n = 112200019994 and 112200020021.

It is not an unprimeable number, because it can be changed into a prime (112200020033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105748782 + ... + 105749842.

It is an arithmetic number, because the mean of its divisors is an integer number (2075710860).

Almost surely, 2112200020032 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 112200020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116239808160).

112200020032 is an abundant number, since it is smaller than the sum of its proper divisors (120279596288).

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

112200020032 is a wasteful number, since it uses less digits than its factorization.

112200020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 112200020032 its reverse (230020002211), we get a palindrome (342220022243).

The spelling of 112200020032 in words is "one hundred twelve billion, two hundred million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 227 232 251 454 464 502 908 928 1004 1061 1816 1856 2008 2122 3632 4016 4244 6583 7264 7279 8032 8488 13166 14528 14558 16064 16976 26332 29116 30769 33952 52664 56977 58232 61538 67904 105328 113954 116464 123076 210656 227908 232928 240847 246152 266311 421312 455816 465856 481694 492304 532622 911632 963388 984608 1065244 1652333 1823264 1926776 1969216 2130488 3304666 3646528 3853552 4260976 6609332 6984563 7707104 7723019 8521952 13218664 13969126 15414208 15446038 17043904 26437328 27938252 30892076 52874656 55876504 60452597 61784152 105749312 111753008 120905194 123568304 223506016 241810388 247136608 447012032 483620776 494273216 967241552 1753125313 1934483104 3506250626 3868966208 7012501252 14025002504 28050005008 56100010016 112200020032