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201044442321 = 32314326962297
BaseRepresentation
bin1011101100111100101…
…1101011110011010001
3201012221010120212000100
42323033023223303101
511243214334123241
6232205240043013
720345032364232
oct2731713536321
9635833525010
10201044442321
117829838a178
1232b69463469
1315c5c819b98
149a32abb089
155369ed39b6
hex2ecf2ebcd1

201044442321 has 48 divisors (see below), whose sum is σ = 307881699840. Its totient is φ = 126216679680.

The previous prime is 201044442301. The next prime is 201044442323. The reversal of 201044442321 is 123244440102.

It is not a de Polignac number, because 201044442321 - 25 = 201044442289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201044442323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3196045 + ... + 3258341.

It is an arithmetic number, because the mean of its divisors is an integer number (6414202080).

Almost surely, 2201044442321 is an apocalyptic number.

It is an amenable number.

201044442321 is a deficient number, since it is larger than the sum of its proper divisors (106837257519).

201044442321 is a wasteful number, since it uses less digits than its factorization.

201044442321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62646 (or 62643 counting only the distinct ones).

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

Adding to 201044442321 its reverse (123244440102), we get a palindrome (324288882423).

The spelling of 201044442321 in words is "two hundred one billion, forty-four million, four hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 31 43 93 129 269 279 387 807 1333 2421 3999 8339 11567 11997 25017 34701 62297 75051 104103 186891 358577 560673 1075731 1931207 2678771 3227193 5793621 8036313 16757893 17380863 24108939 50273679 83041901 150821037 249125703 519494683 720589399 747377109 1558484049 2161768197 4675452147 6485304591 22338271369 67014814107 201044442321