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200112221331232 = 2571922474676263
BaseRepresentation
bin101101100000000001000001…
…110111100001111100100000
3222020112112121202212100112121
4231200001001313201330200
5202212114312130044412
61545334141350034024
760102426252016360
oct5540010167417440
9866475552770477
10200112221331232
11588421310324a1
121a53b10a048914
138787669a48762
14375b6a9c389a0
1518205a11b9107
hexb60041de1f20

200112221331232 has 72 divisors (see below), whose sum is σ = 475197234918336. Its totient is φ = 81248571033984.

The previous prime is 200112221331199. The next prime is 200112221331247. The reversal of 200112221331232 is 232133122211002.

It is a super-2 number, since 2×2001122213312322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200112221331197 and 200112221331206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1237257268 + ... + 1237418995.

It is an arithmetic number, because the mean of its divisors is an integer number (6599961596088).

Almost surely, 2200112221331232 is an apocalyptic number.

It is an amenable number.

200112221331232 is an abundant number, since it is smaller than the sum of its proper divisors (275085013587104).

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

200112221331232 is a wasteful number, since it uses less digits than its factorization.

200112221331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474676318 (or 2474676291 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 200112221331232 its reverse (232133122211002), we get a palindrome (432245343542234).

The spelling of 200112221331232 in words is "two hundred trillion, one hundred twelve billion, two hundred twenty-one million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 361 532 608 722 1064 1444 2128 2527 2888 4256 5054 5776 10108 11552 20216 40432 80864 2474676263 4949352526 9898705052 17322733841 19797410104 34645467682 39594820208 47018848997 69290935364 79189640416 94037697994 138581870728 188075395988 277163741456 329131942979 376150791976 554327482912 658263885958 752301583952 893358130943 1316527771916 1504603167904 1786716261886 2633055543832 3573432523772 5266111087664 6253506916601 7146865047544 10532222175328 12507013833202 14293730095088 25014027666404 28587460190176 50028055332808 100056110665616 200112221331232