Search a number
-
+
200012210012000 = 2553232174045761
BaseRepresentation
bin101101011110100011111000…
…101110100111111101100000
3222020011222110210220221020002
4231132203320232213331200
5202204000001230341000
61545220201340235132
760062256006565241
oct5536437056477540
9866158423827202
10200012210012000
115880377a276061
121a52385853baa8
13877b0bbaa4b59
1437568dd4accc8
15181cb9ae958d5
hexb5e8f8ba7f60

200012210012000 has 96 divisors (see below), whose sum is σ = 512796521974464. Its totient is φ = 76526410752000.

The previous prime is 200012210011969. The next prime is 200012210012003. The reversal of 200012210012000 is 210012210002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200012210012003) 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, 1086930881 + ... + 1087114880.

It is an arithmetic number, because the mean of its divisors is an integer number (5341630437234).

Almost surely, 2200012210012000 is an apocalyptic number.

200012210012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200012210012000 is an abundant number, since it is smaller than the sum of its proper divisors (312784311962464).

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

200012210012000 is a wasteful number, since it uses less digits than its factorization.

200012210012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174045809 (or 2174045791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200012210012000 its reverse (210012210002), we get a palindrome (200222222222002).

It can be divided in two parts, 200012 and 210012000, that added together give a palindrome (210212012).

The spelling of 200012210012000 in words is "two hundred trillion, twelve billion, two hundred ten million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 92000 2174045761 4348091522 8696183044 10870228805 17392366088 21740457610 34784732176 43480915220 50003052503 54351144025 69569464352 86961830440 100006105006 108702288050 173923660880 200012210012 217404576100 250015262515 271755720125 347847321760 400024420024 434809152200 500030525030 543511440250 800048840048 869618304400 1000061050060 1087022880500 1250076312575 1600097680096 1739236608800 2000122100120 2174045761000 2500152625150 4000244200240 4348091522000 5000305250300 6250381562875 8000488400480 8696183044000 10000610500600 12500763125750 20001221001200 25001526251500 40002442002400 50003052503000 100006105006000 200012210012000