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200222220120021 = 3411220428754221
BaseRepresentation
bin101101100001100111011110…
…010011100110111111010101
3222020221001112202222210110000
4231201213132103212333111
5202220420101322320041
61545500452413521513
760113402160213531
oct5541473623467725
9866831482883400
10200222220120021
1158884848525600
121a5584a84a3299
138794b49c10268
143762b42bc4bc1
15182338d122bb6
hexb619de4e6fd5

200222220120021 has 30 divisors (see below), whose sum is σ = 328759941694646. Its totient is φ = 121346800066800.

The previous prime is 200222220120011. The next prime is 200222220120029. The reversal of 200222220120021 is 120021022222002.

200222220120021 is a `hidden beast` number, since 2 + 0 + 0 + 222 + 220 + 1 + 200 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191238862419396 + 8983357700625 = 13828914^2 + 2997225^2 .

It is a de Polignac number, because none of the positive numbers 2k-200222220120021 is a prime.

It is a super-3 number, since 3×2002222201200213 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200222220119976 and 200222220120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200222220120029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10214367310 + ... + 10214386911.

Almost surely, 2200222220120021 is an apocalyptic number.

It is an amenable number.

200222220120021 is a deficient number, since it is larger than the sum of its proper divisors (128537721574625).

200222220120021 is a wasteful number, since it uses less digits than its factorization.

200222220120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20428754255 (or 20428754235 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200222220120021 its reverse (120021022222002), we get a palindrome (320243242342023).

The spelling of 200222220120021 in words is "two hundred trillion, two hundred twenty-two billion, two hundred twenty million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 20428754221 61286262663 183858787989 224716296431 551576363967 674148889293 1654729091901 2022446667879 2471879260741 6067340003637 7415637782223 18202020010911 22246913346669 66740740040007 200222220120021