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200210212101220 = 22531331982461997
BaseRepresentation
bin101101100001011100010010…
…100100101001110001100100
3222020212220112220210020100221
4231201130102210221301210
5202220221003244214340
61545451145100214124
760112465460561416
oct5541342244516144
9866786486706327
10200210212101220
115887a746297322
121a5560b6b3a344
1387939851cb8a9
1437623240ba9b6
151822dd8d1b44a
hexb61712929c64

200210212101220 has 24 divisors (see below), whose sum is σ = 421784708829624. Its totient is φ = 79828225142016.

The previous prime is 200210212101169. The next prime is 200210212101227. The reversal of 200210212101220 is 22101212012002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 556477208676 + 199653734892544 = 745974^2 + 14129888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200210212101194 and 200210212101203.

It is not an unprimeable number, because it can be changed into a prime (200210212101227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15991224739 + ... + 15991237258.

It is an arithmetic number, because the mean of its divisors is an integer number (17574362867901).

Almost surely, 2200210212101220 is an apocalyptic number.

200210212101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210212101220 is an abundant number, since it is smaller than the sum of its proper divisors (221574496728404).

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

200210212101220 is a wasteful number, since it uses less digits than its factorization.

200210212101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31982462319 (or 31982462317 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200210212101220 its reverse (22101212012002), we get a palindrome (222311424113222).

The spelling of 200210212101220 in words is "two hundred trillion, two hundred ten billion, two hundred twelve million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 313 626 1252 1565 3130 6260 31982461997 63964923994 127929847988 159912309985 319824619970 639649239940 10010510605061 20021021210122 40042042420244 50052553025305 100105106050610 200210212101220