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200122212010000 = 245472858888743
BaseRepresentation
bin101101100000001010010101…
…010110111100100000010000
3222020120111102001002102100011
4231200022111112330200100
5202212300242233310000
61545342513001004304
760103231654256620
oct5540122526744020
9866514361072304
10200122212010000
1158846398560305
121a541037a83694
13878859c8212b7
14375bd76a52880
1518209883352ba
hexb602955bc810

200122212010000 has 100 divisors (see below), whose sum is σ = 553732443047872. Its totient is φ = 68613329808000.

The previous prime is 200122212009983. The next prime is 200122212010001. The reversal of 200122212010000 is 10212221002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (200122212010001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1429374372 + ... + 1429514371.

Almost surely, 2200122212010000 is an apocalyptic number.

200122212010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200122212010000 is an abundant number, since it is smaller than the sum of its proper divisors (353610231037872).

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

200122212010000 is an equidigital number, since it uses as much as digits as its factorization.

200122212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858888778 (or 2858888757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200122212010000 its reverse (10212221002), we get a palindrome (200132424231002).

The spelling of 200122212010000 in words is "two hundred trillion, one hundred twenty-two billion, two hundred twelve million, ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 2858888743 5717777486 11435554972 14294443715 20012221201 22871109944 28588887430 40024442402 45742219888 57177774860 71472218575 80048884804 100061106005 114355549720 142944437150 160097769608 200122212010 228711099440 285888874300 320195539216 357361092875 400244424020 500305530025 571777748600 714722185750 800488848040 1000611060050 1143555497200 1429444371500 1600977696080 1786805464375 2001222120100 2501527650125 2858888743000 3573610928750 4002444240200 5003055300250 5717777486000 7147221857500 8004888480400 10006110600500 12507638250625 14294443715000 20012221201000 25015276501250 28588887430000 40024442402000 50030553002500 100061106005000 200122212010000