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201044443212 = 223228127537219
BaseRepresentation
bin1011101100111100101…
…1101100000001001100
3201012221010120220020100
42323033023230001030
511243214334140322
6232205240051100
720345032366644
oct2731713540114
9635833526210
10201044443212
117829838a908
1232b69463a90
1315c5c81a402
149a32abb524
155369ed3dac
hex2ecf2ec04c

201044443212 has 72 divisors (see below), whose sum is σ = 510260128560. Its totient is φ = 66742824960.

The previous prime is 201044443211. The next prime is 201044443217. The reversal of 201044443212 is 212344440102.

201044443212 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 4 + 4 + 443 + 212 = 666.

201044443212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201044443211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27845739 + ... + 27852957.

It is an arithmetic number, because the mean of its divisors is an integer number (7086946230).

Almost surely, 2201044443212 is an apocalyptic number.

It is an amenable number.

201044443212 is an abundant number, since it is smaller than the sum of its proper divisors (309215685348).

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

201044443212 is a wasteful number, since it uses less digits than its factorization.

201044443212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10263 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 201044443212 its reverse (212344440102), we get a palindrome (413388883314).

The spelling of 201044443212 in words is "two hundred one billion, forty-four million, four hundred forty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 2753 3372 5058 5506 7219 8259 10116 11012 14438 16518 21657 24777 28876 33036 43314 49554 64971 86628 99108 129942 259884 773593 1547186 2028539 2320779 3094372 4057078 4641558 6085617 6962337 8114156 9283116 12171234 13924674 18256851 19873907 24342468 27849348 36513702 39747814 59621721 73027404 79495628 119243442 178865163 238486884 357730326 715460652 5584567867 11169135734 16753703601 22338271468 33507407202 50261110803 67014814404 100522221606 201044443212