Search a number
-
+
22211202010221 = 32723373171306901
BaseRepresentation
bin1010000110011011100101…
…10011100100110001101101
32220122100222212011010021200
411003031302303210301231
510402402020203311341
6115123404011120113
74451464202005620
oct503156263446155
986570885133250
1022211202010221
117093799543104
1225a881a743039
13c516798a0b93
1456b056845db7
15287b6e97bdb6
hex143372ce4c6d

22211202010221 has 96 divisors (see below), whose sum is σ = 39418339004928. Its totient is φ = 11774897164800.

The previous prime is 22211202010213. The next prime is 22211202010229. The reversal of 22211202010221 is 12201020211222.

It is a happy number.

22211202010221 is a `hidden beast` number, since 2 + 221 + 1 + 20 + 201 + 0 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (22211202010213) and next prime (22211202010229).

It is not a de Polignac number, because 22211202010221 - 23 = 22211202010213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22211202010194 and 22211202010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211202010229) 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 95 ways as a sum of consecutive naturals, for example, 16341871 + ... + 17648771.

It is an arithmetic number, because the mean of its divisors is an integer number (410607697968).

Almost surely, 222211202010221 is an apocalyptic number.

22211202010221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22211202010221 is a deficient number, since it is larger than the sum of its proper divisors (17207136994707).

22211202010221 is a wasteful number, since it uses less digits than its factorization.

22211202010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307291 (or 1307288 counting only the distinct ones).

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

Adding to 22211202010221 its reverse (12201020211222), we get a palindrome (34412222221443).

The spelling of 22211202010221 in words is "twenty-two trillion, two hundred eleven billion, two hundred two million, ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 23 37 63 69 111 161 207 259 317 333 483 777 851 951 1449 2219 2331 2553 2853 5957 6657 7291 7659 11729 17871 19971 21873 35187 51037 53613 65619 82103 105561 153111 246309 269767 459333 738927 809301 1306901 1888369 2427903 3920703 5665107 9148307 11762109 16995321 27444921 30058723 48355337 82334763 90176169 145066011 210411061 270528507 338487359 414287617 435198033 631233183 1015462077 1112172751 1242862851 1893699549 2900013319 3046386231 3336518253 3728588553 7785209257 8700039957 9528615191 10009554759 15328641829 23355627771 26100119871 28585845573 45985925487 66700306337 70066883313 85757536719 107300492803 137957776461 200100919011 321901478409 352558762067 600302757033 965704435227 1057676286201 2467911334469 3173028858603 7403734003407 22211202010221