Search a number
-
+
200201022021 = 37113133714891
BaseRepresentation
bin1011101001110011101…
…0010010101001000101
3201010202100112122212110
42322130322102221011
511240002430201041
6231545430411233
720315111416020
oct2723472225105
9633670478773
10200201022021
11779a5292000
1232972b00b19
1315b56b73710
149992a8c1b7
15531ae31516
hex2e9ce92a45

200201022021 has 128 divisors (see below), whose sum is σ = 371155341312. Its totient is φ = 93399609600.

The previous prime is 200201022013. The next prime is 200201022031. The reversal of 200201022021 is 120220102002.

200201022021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200201022021 - 23 = 200201022013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200201021988 and 200201022006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201022031) 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 127 ways as a sum of consecutive naturals, for example, 13436986 + ... + 13451876.

It is an arithmetic number, because the mean of its divisors is an integer number (2899651104).

Almost surely, 2200201022021 is an apocalyptic number.

200201022021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200201022021 is a deficient number, since it is larger than the sum of its proper divisors (170954319291).

200201022021 is a wasteful number, since it uses less digits than its factorization.

200201022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14984 (or 14962 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200201022021 its reverse (120220102002), we get a palindrome (320421124023).

The spelling of 200201022021 in words is "two hundred billion, two hundred one million, twenty-two thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 121 143 231 259 273 363 407 429 481 777 847 1001 1221 1331 1443 1573 2541 2849 3003 3367 3993 4477 4719 5291 8547 9317 10101 11011 13431 14891 15873 17303 27951 31339 33033 37037 44673 49247 51909 58201 94017 104237 111111 121121 147741 163801 174603 193583 312711 344729 363363 407407 491403 550967 580749 640211 1034187 1146607 1222221 1355081 1652901 1801811 1920633 2129413 3439821 3856769 4065243 4481477 5405433 6060637 6388239 7162571 11570307 12612677 13444431 14905891 18181911 19819921 21487713 23423543 37838031 42424459 44717673 50137997 59459763 66667007 70270629 78788281 127273377 138739447 150413991 163964801 200001021 236364843 257658973 416218341 466669049 491894403 551517967 733337077 772976919 866671091 1400007147 1654553901 1803612811 2200011231 2600013273 5133359539 5410838433 6066697637 9533382001 15400078617 18200092911 28600146003 66733674007 200201022021