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21210211220 = 22511891377907
BaseRepresentation
bin10011110000001110…
…100010001110010100
32000202011202100221112
4103300032202032110
5321414303224340
613424400234152
71350415551332
oct236016421624
960664670845
1021210211220
118aa467a690
12413b30b958
132000335b53
141052d12b52
15842122065
hex4f03a2394

21210211220 has 96 divisors (see below), whose sum is σ = 49501549440. Its totient is φ = 7569520640.

The previous prime is 21210211123. The next prime is 21210211289. The reversal of 21210211220 is 2211201212.

It is a junction number, because it is equal to n+sod(n) for n = 21210211195 and 21210211204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2678507 + ... + 2686413.

It is an arithmetic number, because the mean of its divisors is an integer number (515641140).

Almost surely, 221210211220 is an apocalyptic number.

21210211220 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 21210211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24750774720).

21210211220 is an abundant number, since it is smaller than the sum of its proper divisors (28291338220).

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

21210211220 is a wasteful number, since it uses less digits than its factorization.

21210211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8153 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21210211220 its reverse (2211201212), we get a palindrome (23421412432).

It can be divided in two parts, 212102 and 11220, that added together give a palindrome (223322).

The spelling of 21210211220 in words is "twenty-one billion, two hundred ten million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 137 178 220 274 356 445 548 685 890 979 1370 1507 1780 1958 2740 3014 3916 4895 6028 7535 7907 9790 12193 15070 15814 19580 24386 30140 31628 39535 48772 60965 79070 86977 121930 134123 158140 173954 243860 268246 347908 434885 536492 670615 703723 869770 1083259 1341230 1407446 1739540 2166518 2682460 2814892 3518615 4333036 5416295 7037230 7740953 10832590 11915849 14074460 15481906 21665180 23831698 30963812 38704765 47663396 59579245 77409530 96410051 119158490 154819060 192820102 238316980 385640204 482050255 964100510 1060510561 1928201020 2121021122 4242042244 5302552805 10605105610 21210211220