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200112112222020 = 223253730046863697
BaseRepresentation
bin101101100000000000111011…
…010111010011111101000100
3222020112112100011120000211200
4231200000323113103331010
5202212114101212101040
61545334122451302500
760102423455424615
oct5540007327237504
9866475304500750
10200112112222020
115884208548a099
121a53b0995aaa30
1387876502659ab
14375b699555c0c
151820596815630
hexb6003b5d3f44

200112112222020 has 72 divisors (see below), whose sum is σ = 623412328006104. Its totient is φ = 51920980466688.

The previous prime is 200112112222013. The next prime is 200112112222037. The reversal of 200112112222020 is 20222211211002.

It is a happy number.

200112112222020 is a `hidden beast` number, since 20 + 0 + 11 + 211 + 222 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27367985399364 + 172744126822656 = 5231442^2 + 13143216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200112112221984 and 200112112222002.

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 23 ways as a sum of consecutive naturals, for example, 15023425189 + ... + 15023438508.

Almost surely, 2200112112222020 is an apocalyptic number.

200112112222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200112112222020 is an abundant number, since it is smaller than the sum of its proper divisors (423300215784084).

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

200112112222020 is a wasteful number, since it uses less digits than its factorization.

200112112222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30046863749 (or 30046863744 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200112112222020 its reverse (20222211211002), we get a palindrome (220334323433022).

The spelling of 200112112222020 in words is "two hundred trillion, one hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 30046863697 60093727394 90140591091 120187454788 150234318485 180281182182 270421773273 300468636970 360562364364 450702955455 540843546546 600937273940 901405910910 1081687093092 1111733956789 1352108866365 1802811821820 2223467913578 2704217732730 3335201870367 4446935827156 5408435465460 5558669783945 6670403740734 10005605611101 11117339567890 13340807481468 16676009351835 20011211222202 22234679135780 33352018703670 40022422444404 50028028055505 66704037407340 100056056111010 200112112222020