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212221102320 = 24325294751531
BaseRepresentation
bin1100010110100101011…
…1010000100011110000
3202021210001110000012200
43011221113100203300
511434112100233240
6241254254423200
721222015414633
oct3055127204360
9667701400180
10212221102320
1182003309267
1235168501b00
1317021219076
14a3b3215c1a
1557c131b930
hex31695d08f0

212221102320 has 60 divisors (see below), whose sum is σ = 712709204376. Its totient is φ = 56592293760.

The previous prime is 212221102237. The next prime is 212221102391. The reversal of 212221102320 is 23201122212.

212221102320 is a `hidden beast` number, since 21 + 2 + 221 + 102 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212221102293 and 212221102302.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 147375046 + ... + 147376485.

Almost surely, 2212221102320 is an apocalyptic number.

212221102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221102320 is an abundant number, since it is smaller than the sum of its proper divisors (500488102056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212221102320 is a wasteful number, since it uses less digits than its factorization.

212221102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294751550 (or 294751541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212221102320 its reverse (23201122212), we get a palindrome (235422224532).

The spelling of 212221102320 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 294751531 589503062 884254593 1179006124 1473757655 1768509186 2358012248 2652763779 2947515310 3537018372 4421272965 4716024496 5305527558 5895030620 7074036744 8842545930 10611055116 11790061240 13263818895 14148073488 17685091860 21222110232 23580122480 26527637790 35370183720 42444220464 53055275580 70740367440 106110551160 212221102320