Search a number
-
+
21211112223 = 347225116619
BaseRepresentation
bin10011110000010001…
…111110001100011111
32000202020110010220000
4103300101332030133
5321420021042343
613424431425343
71350426323220
oct236021761437
960666403800
1021211112223
118aa5135614
12413b685253
13200058cca2
1410530a9247
1584224ded3
hex4f047e31f

21211112223 has 40 divisors (see below), whose sum is σ = 36230536320. Its totient is φ = 12114522000.

The previous prime is 21211112207. The next prime is 21211112231. The reversal of 21211112223 is 32221111212.

It is not a de Polignac number, because 21211112223 - 24 = 21211112207 is a prime.

It is a super-2 number, since 2×212111122232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21211112196 and 21211112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211112723) 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 39 ways as a sum of consecutive naturals, for example, 1268008 + ... + 1284626.

It is an arithmetic number, because the mean of its divisors is an integer number (905763408).

Almost surely, 221211112223 is an apocalyptic number.

21211112223 is a deficient number, since it is larger than the sum of its proper divisors (15019424097).

21211112223 is a wasteful number, since it uses less digits than its factorization.

21211112223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18889 (or 18880 counting only the distinct ones).

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

Adding to 21211112223 its reverse (32221111212), we get a palindrome (53432223435).

The spelling of 21211112223 in words is "twenty-one billion, two hundred eleven million, one hundred twelve thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 81 189 567 2251 6753 15757 16619 20259 47271 49857 60777 116333 141813 149571 182331 348999 425439 448713 1046997 1276317 1346139 3140991 9422973 37409369 112228107 261865583 336684321 785596749 1010052963 2356790247 3030158889 7070370741 21211112223