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220221221121 = 33114335174903
BaseRepresentation
bin1100110100011000110…
…1010010100100000001
3210001102121002011002000
43031012031102210001
512102003113033441
6245100201014213
721624200331306
oct3150615224401
9701377064060
10220221221121
11854391579a0
123681b784369
13179c77a1285
14a9319110ad
155add83c2b6
hex3346352901

220221221121 has 64 divisors (see below), whose sum is σ = 364367984640. Its totient is φ = 130299865920.

The previous prime is 220221221113. The next prime is 220221221141. The reversal of 220221221121 is 121122122022.

It is a happy number.

220221221121 is a `hidden beast` number, since 220 + 2 + 212 + 211 + 21 = 666.

It is not a de Polignac number, because 220221221121 - 23 = 220221221113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220221221094 and 220221221103.

It is not an unprimeable number, because it can be changed into a prime (220221221111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44913156 + ... + 44918058.

It is an arithmetic number, because the mean of its divisors is an integer number (5693249760).

Almost surely, 2220221221121 is an apocalyptic number.

It is an amenable number.

220221221121 is a deficient number, since it is larger than the sum of its proper divisors (144146763519).

220221221121 is a wasteful number, since it uses less digits than its factorization.

220221221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220221221121 its reverse (121122122022), we get a palindrome (341343343143).

Subtracting from 220221221121 its reverse (121122122022), we obtain a palindrome (99099099099).

The spelling of 220221221121 in words is "two hundred twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 43 99 129 297 387 473 1161 1419 3517 4257 4903 10551 12771 14709 31653 38687 44127 53933 94959 116061 132381 151231 161799 210829 348183 453693 485397 632487 1044549 1361079 1456191 1663541 1897461 2319119 4083237 4990623 5692383 6957357 14971869 17243851 20872071 44915607 51731553 62616213 155194659 189682361 465583977 569047083 741485593 1707141249 2224456779 5121423747 6673370337 8156341523 20020111011 24469024569 73407073707 220221221121