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21221113221 = 3271129372971
BaseRepresentation
bin10011110000111000…
…000111110110000101
32000202221021020200100
4103300320013312011
5321430101110341
613425430034313
71350610325520
oct236070076605
960687236610
1021221113221
118aaa846500
124142aa8999
132002682139
14105454dbb7
158430773b6
hex4f0e07d85

21221113221 has 72 divisors (see below), whose sum is σ = 38559964352. Its totient is φ = 11008483200.

The previous prime is 21221113189. The next prime is 21221113241. The reversal of 21221113221 is 12231112212.

It is not a de Polignac number, because 21221113221 - 25 = 21221113189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21221113194 and 21221113203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221113241) 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 71 ways as a sum of consecutive naturals, for example, 7141266 + ... + 7144236.

Almost surely, 221221113221 is an apocalyptic number.

21221113221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21221113221 is a deficient number, since it is larger than the sum of its proper divisors (17338851131).

21221113221 is a wasteful number, since it uses less digits than its factorization.

21221113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3929 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 21221113221 its reverse (12231112212), we get a palindrome (33452225433).

The spelling of 21221113221 in words is "twenty-one billion, two hundred twenty-one million, one hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 937 1089 2541 2811 2971 6559 7623 8433 8913 10307 19677 20797 26739 30921 32681 59031 62391 72149 92763 98043 113377 187173 216447 228767 294129 340131 359491 649341 686301 793639 1020393 1078473 2058903 2380917 2516437 2783827 3235419 7142751 7549311 8351481 19486789 22647933 25054443 30622097 58460367 91866291 175381101 214354679 275598873 336843067 643064037 1010529201 1929192111 2357901469 3031587603 7073704407 21221113221