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200200312031020 = 225717922133609959
BaseRepresentation
bin101101100001010011000100…
…011110111000011100101100
3222020211221222222001120011021
4231201103010132320130230
5202220040214334443040
61545442430443303524
760111665235430120
oct5541230436703454
9866757888046137
10200200312031020
1158876525a26024
121a5541b351aba4
138792a6812bca2
143761a6532b580
151822a09aec24a
hexb614c47b872c

200200312031020 has 96 divisors (see below), whose sum is σ = 483383463091200. Its totient is φ = 68225780308224.

The previous prime is 200200312030991. The next prime is 200200312031081. The reversal of 200200312031020 is 20130213002002.

It is a junction number, because it is equal to n+sod(n) for n = 200200312030985 and 200200312031003.

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 31 ways as a sum of consecutive naturals, for example, 53652801 + ... + 57262759.

It is an arithmetic number, because the mean of its divisors is an integer number (5035244407200).

Almost surely, 2200200312031020 is an apocalyptic number.

200200312031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200200312031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241691731545600).

200200312031020 is an abundant number, since it is smaller than the sum of its proper divisors (283183151060180).

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

200200312031020 is a wasteful number, since it uses less digits than its factorization.

200200312031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612367 (or 3612365 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 200200312031020 its reverse (20130213002002), we get a palindrome (220330525033022).

The spelling of 200200312031020 in words is "two hundred trillion, two hundred billion, three hundred twelve million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 895 1253 1790 2213 2506 3580 4426 5012 6265 8852 11065 12530 15491 22130 25060 30982 44260 61964 77455 154910 309820 396127 792254 1584508 1980635 2772889 3609959 3961270 5545778 7219918 7922540 11091556 13864445 14439836 18049795 25269713 27728890 36099590 50539426 55457780 72199180 101078852 126348565 252697130 505394260 646182661 1292365322 2584730644 3230913305 4523278627 6461826610 7988839267 9046557254 12923653220 15977678534 18093114508 22616393135 31955357068 39944196335 45232786270 55921874869 79888392670 90465572540 111843749738 159776785340 223687499476 279609374345 559218748690 1118437497380 1430002228793 2860004457586 5720008915172 7150011143965 10010015601551 14300022287930 20020031203102 28600044575860 40040062406204 50050078007755 100100156015510 200200312031020