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21221333320 = 23511219230767
BaseRepresentation
bin10011110000111000…
…111101100101001000
32000202221200102121011
4103300320331211020
5321430130131240
613425434453304
71350612233305
oct236070754510
960687612534
1021221333320
118aaa986900
124142b94234
13200272b385
1410545aa0ac
158430bc6ea
hex4f0e3d948

21221333320 has 96 divisors (see below), whose sum is σ = 55245859200. Its totient is φ = 7310666880.

The previous prime is 21221333317. The next prime is 21221333333. The reversal of 21221333320 is 2333312212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21221333291 and 21221333300.

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 23 ways as a sum of consecutive naturals, for example, 23424 + ... + 207343.

It is an arithmetic number, because the mean of its divisors is an integer number (575477700).

Almost surely, 221221333320 is an apocalyptic number.

21221333320 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 21221333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27622929600).

21221333320 is an abundant number, since it is smaller than the sum of its proper divisors (34024525880).

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

21221333320 is a wasteful number, since it uses less digits than its factorization.

21221333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230819 (or 230804 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 21221333320 its reverse (2333312212), we get a palindrome (23554645532).

The spelling of 21221333320 in words is "twenty-one billion, two hundred twenty-one million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 121 152 190 209 220 242 380 418 440 484 605 760 836 968 1045 1210 1672 2090 2299 2420 4180 4598 4840 8360 9196 11495 18392 22990 45980 91960 230767 461534 923068 1153835 1846136 2307670 2538437 4384573 4615340 5076874 8769146 9230680 10153748 12692185 17538292 20307496 21922865 25384370 27922807 35076584 43845730 48230303 50768740 55845614 87691460 96460606 101537480 111691228 139614035 175382920 192921212 223382456 241151515 279228070 385842424 482303030 530533333 558456140 964606060 1061066666 1116912280 1929212120 2122133332 2652666665 4244266664 5305333330 10610666660 21221333320