Search a number
-
+
201221222020100 = 225218353109639417
BaseRepresentation
bin101101110000001001110111…
…011101011011010000000100
3222101110120010221022111020022
4231300021313131123100010
5202333302030314120400
61551543430411354312
760245516315234342
oct5560116735332004
9871416127274208
10201221222020100
115912a494005227
121a69a030152998
138838106485719
143799232856992
15183e35be30b85
hexb7027775b404

201221222020100 has 36 divisors (see below), whose sum is σ = 436673847519924. Its totient is φ = 80484102497280.

The previous prime is 201221222020087. The next prime is 201221222020151. The reversal of 201221222020100 is 1020222122102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16429986705664 + 184791235314436 = 4053392^2 + 13593794^2 .

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 11 ways as a sum of consecutive naturals, for example, 52984409 + ... + 56655008.

Almost surely, 2201221222020100 is an apocalyptic number.

201221222020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221222020100 is an abundant number, since it is smaller than the sum of its proper divisors (235452625499824).

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

201221222020100 is a wasteful number, since it uses less digits than its factorization.

201221222020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109657784 (or 109657777 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201221222020100 its reverse (1020222122102), we get a palindrome (202241444142202).

The spelling of 201221222020100 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 18353 36706 73412 91765 183530 367060 458825 917650 1835300 109639417 219278834 438557668 548197085 1096394170 2192788340 2740985425 5481970850 10963941700 2012212220201 4024424440402 8048848880804 10061061101005 20122122202010 40244244404020 50305305505025 100610611010050 201221222020100