Search a number
-
+
200131640047800 = 233252113983931367
BaseRepresentation
bin101101100000010011000111…
…010100000011100010111000
3222020121101202002121100211100
4231200103013110003202320
5202212424044323012200
61545351112312331400
760104014415256366
oct5540230724034270
9866541662540740
10200131640047800
115884a39642768a
121a542a293a3b60
138789442b7b9a6
14375c5ccc4a636
151820d3adb2d00
hexb604c75038b8

200131640047800 has 144 divisors (see below), whose sum is σ = 678056623629840. Its totient is φ = 52896150236160.

The previous prime is 200131640047783. The next prime is 200131640047907. The reversal of 200131640047800 is 8740046131002.

200131640047800 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 1 + 640 + 0 + 4 + 7 + 8 + 0 + 0 = 666.

200131640047800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 491762284 + ... + 492169083.

It is an arithmetic number, because the mean of its divisors is an integer number (4708726552985).

Almost surely, 2200131640047800 is an apocalyptic number.

200131640047800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200131640047800 is an abundant number, since it is smaller than the sum of its proper divisors (477924983582040).

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

200131640047800 is a wasteful number, since it uses less digits than its factorization.

200131640047800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983931502 (or 983931490 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 200131640047800 its reverse (8740046131002), we get a palindrome (208871686178802).

The spelling of 200131640047800 in words is "two hundred trillion, one hundred thirty-one billion, six hundred forty million, forty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 113 120 150 180 200 225 226 300 339 360 450 452 565 600 678 900 904 1017 1130 1356 1695 1800 2034 2260 2712 2825 3390 4068 4520 5085 5650 6780 8136 8475 10170 11300 13560 16950 20340 22600 25425 33900 40680 50850 67800 101700 203400 983931367 1967862734 2951794101 3935725468 4919656835 5903588202 7871450936 8855382303 9839313670 11807176404 14758970505 17710764606 19678627340 23614352808 24598284175 29517941010 35421529212 39357254680 44276911515 49196568350 59035882020 70843058424 73794852525 88553823030 98393136700 111184244471 118071764040 147589705050 177107646060 196786273400 221384557575 222368488942 295179410100 333552733413 354215292120 442769115150 444736977884 555921222355 590358820200 667105466826 885538230300 889473955768 1000658200239 1111842444710 1334210933652 1667763667065 1771076460600 2001316400478 2223684889420 2668421867304 2779606111775 3335527334130 4002632800956 4447369778840 5003291001195 5559212223550 6671054668260 8005265601912 8338818335325 10006582002390 11118424447100 13342109336520 16677636670650 20013164004780 22236848894200 25016455005975 33355273341300 40026328009560 50032910011950 66710546682600 100065820023900 200131640047800