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201004221033 = 3471136718779
BaseRepresentation
bin1011101100110011001…
…0010000001001101001
3201012211022220101210000
42323030302100021221
511243124040033113
6232201242013213
720344033455060
oct2731462201151
9635738811700
10201004221033
1178277708340
1232b57aa7209
1315c543a66c5
149a2b60b1d7
1553666db373
hex2eccc90269

201004221033 has 80 divisors (see below), whose sum is σ = 374501698560. Its totient is φ = 104377442400.

The previous prime is 201004221031. The next prime is 201004221037. The reversal of 201004221033 is 330122400102.

201004221033 is a `hidden beast` number, since 201 + 0 + 0 + 422 + 10 + 33 = 666.

It is not a de Polignac number, because 201004221033 - 21 = 201004221031 is a prime.

It is a super-3 number, since 3×2010042210333 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201004220997 and 201004221015.

It is not an unprimeable number, because it can be changed into a prime (201004221031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22891638 + ... + 22900416.

It is an arithmetic number, because the mean of its divisors is an integer number (4681271232).

Almost surely, 2201004221033 is an apocalyptic number.

It is an amenable number.

201004221033 is a deficient number, since it is larger than the sum of its proper divisors (173497477527).

201004221033 is a wasteful number, since it uses less digits than its factorization.

201004221033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12480 (or 12471 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201004221033 its reverse (330122400102), we get a palindrome (531126621135).

The spelling of 201004221033 in words is "two hundred one billion, four million, two hundred twenty-one thousand, thirty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 693 891 2079 3671 6237 8779 11013 25697 26337 33039 40381 61453 77091 79011 96569 99117 121143 184359 231273 237033 282667 289707 297351 363429 553077 675983 693819 711099 848001 869121 1090287 1659231 2027949 2081457 2544003 2607363 3270861 4977693 6083847 7632009 7822089 18251541 22896027 32227709 54754623 96683127 225593963 290049381 354504799 676781889 870148143 1063514397 2030345667 2481533593 2610444429 3190543191 6091037001 7444600779 9571629573 18273111003 22333802337 28714888719 67001407011 201004221033