Search a number
-
+
201122120122222 = 21317231011391409203
BaseRepresentation
bin101101101110101101100100…
…100001101011111101101110
3222101010002100100121110111011
4231232231210201223331232
5202330141100222402342
61551430120530015434
760235410425061355
oct5556554441537556
9871102310543434
10201122120122222
11590a1459625592
121a68299311757a
13882b971a56870
143794510bba99c
15183b9ab99a717
hexb6eb6486bf6e

201122120122222 has 128 divisors (see below), whose sum is σ = 365119570529280. Its totient is φ = 82144075622400.

The previous prime is 201122120122193. The next prime is 201122120122241. The reversal of 201122120122222 is 222221021221102.

It is a junction number, because it is equal to n+sod(n) for n = 201122120122193 and 201122120122202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142015873 + ... + 143425075.

It is an arithmetic number, because the mean of its divisors is an integer number (2852496644760).

Almost surely, 2201122120122222 is an apocalyptic number.

201122120122222 is a deficient number, since it is larger than the sum of its proper divisors (163997450407058).

201122120122222 is a wasteful number, since it uses less digits than its factorization.

201122120122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409498.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 201122120122222 its reverse (222221021221102), we get a palindrome (423343141343324).

The spelling of 201122120122222 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 13 17 23 26 34 46 101 139 202 221 278 299 391 442 598 782 1313 1717 1807 2323 2363 2626 3197 3434 3614 4646 4726 5083 6394 10166 14039 22321 28078 30199 30719 39491 41561 44642 54349 60398 61438 78982 83122 108698 182507 238663 322897 365014 477326 513383 645794 706537 1026766 1409203 1413074 2818406 3102619 4197661 5489249 6205238 8395322 10978498 18319639 23956451 32411669 36639278 47912902 64823338 71360237 142329503 142720474 195879217 284659006 311433863 391758434 421351697 550998373 622867726 842703394 1101996746 1850283539 2419601551 2546429821 3273578569 3329946689 3700567078 4505221991 4839203102 5092859642 6547157138 6659893378 7162978849 9010443982 14325957698 19783800917 31454820163 39567601834 42556521397 43289306957 55650835673 58567885883 62909640326 76588773847 85113042794 86578613914 111301671346 117135771766 153177547694 257189411921 336324615589 455027421091 514378823842 672649231178 723460863749 910054842182 995654060011 1446921727498 1991308120022 4372220002657 5915356474183 7735466158547 8744440005314 11830712948366 15470932317094 100561060061111 201122120122222