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200101222032200 = 23521000506110161
BaseRepresentation
bin101101011111110110110010…
…010000100010001101001000
3222020111111020012202001211222
4231133312302100202031020
5202211424300320012300
61545325122104541212
760101556551353226
oct5537666220421510
9866444205661758
10200101222032200
11588384a7233315
121a538b5a481808
1387866060081a8
14375ad450abb16
15182015a717785
hexb5fdb2422348

200101222032200 has 24 divisors (see below), whose sum is σ = 465235341225330. Its totient is φ = 80040488812800.

The previous prime is 200101222032167. The next prime is 200101222032223. The reversal of 200101222032200 is 2230222101002.

It can be written as a sum of positive squares in 3 ways, for example, as 126540855925444 + 73560366106756 = 11249038^2 + 8576734^2 .

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 5 ways as a sum of consecutive naturals, for example, 500253054881 + ... + 500253055280.

Almost surely, 2200101222032200 is an apocalyptic number.

200101222032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101222032200 is an abundant number, since it is smaller than the sum of its proper divisors (265134119193130).

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

200101222032200 is a wasteful number, since it uses less digits than its factorization.

200101222032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000506110177 (or 1000506110168 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 200101222032200 its reverse (2230222101002), we get a palindrome (202331444133202).

The spelling of 200101222032200 in words is "two hundred trillion, one hundred one billion, two hundred twenty-two million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1000506110161 2001012220322 4002024440644 5002530550805 8004048881288 10005061101610 20010122203220 25012652754025 40020244406440 50025305508050 100050611016100 200101222032200