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21212102220 = 22353710392767
BaseRepresentation
bin10011110000010101…
…101111111001001100
32000202022022102220120
4103300111233321030
5321420244232340
613424504544540
71350440615421
oct236025577114
960668272816
1021212102220
118aa57513a1
12413ba82150
13200084879a
141053285d48
158423974d0
hex4f056fe4c

21212102220 has 96 divisors (see below), whose sum is σ = 61592014848. Its totient is φ = 5450188032.

The previous prime is 21212102201. The next prime is 21212102237. The reversal of 21212102220 is 2220121212.

It is a super-3 number, since 3×212121022203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21212102220.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 182277 + ... + 275043.

It is an arithmetic number, because the mean of its divisors is an integer number (641583488).

Almost surely, 221212102220 is an apocalyptic number.

21212102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30796007424).

21212102220 is an abundant number, since it is smaller than the sum of its proper divisors (40379912628).

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

21212102220 is a wasteful number, since it uses less digits than its factorization.

21212102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92919 (or 92917 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21212102220 its reverse (2220121212), we get a palindrome (23432223432).

The spelling of 21212102220 in words is "twenty-one billion, two hundred twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 103 111 148 185 206 222 309 370 412 444 515 555 618 740 1030 1110 1236 1545 2060 2220 3090 3811 6180 7622 11433 15244 19055 22866 38110 45732 57165 76220 92767 114330 185534 228660 278301 371068 463835 556602 927670 1113204 1391505 1855340 2783010 3432379 5566020 6864758 9555001 10297137 13729516 17161895 19110002 20594274 28665003 34323790 38220004 41188548 47775005 51485685 57330006 68647580 95550010 102971370 114660012 143325015 191100020 205942740 286650030 353535037 573300060 707070074 1060605111 1414140148 1767675185 2121210222 3535350370 4242420444 5303025555 7070700740 10606051110 21212102220