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212221133310 = 235311916131949
BaseRepresentation
bin1100010110100101011…
…1011000000111111110
3202021210001111120201110
43011221113120013332
511434112102231220
6241254255222450
721222015604164
oct3055127300776
9667701446643
10212221133310
118200332a57a
1235168517a26
131702122a1c4
14a3b3223234
1557c1325be0
hex31695d81fe

212221133310 has 128 divisors (see below), whose sum is σ = 529647206400. Its totient is φ = 54363225600.

The previous prime is 212221133303. The next prime is 212221133317. The reversal of 212221133310 is 13331122212.

It is an interprime number because it is at equal distance from previous prime (212221133303) and next prime (212221133317).

It is a super-2 number, since 2×2122211333102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221133317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108886216 + ... + 108888164.

It is an arithmetic number, because the mean of its divisors is an integer number (4137868800).

Almost surely, 2212221133310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212221133310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264823603200).

212221133310 is an abundant number, since it is smaller than the sum of its proper divisors (317426073090).

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

212221133310 is a wasteful number, since it uses less digits than its factorization.

212221133310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212221133310 its reverse (13331122212), we get a palindrome (225552255522).

The spelling of 212221133310 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 191 310 382 465 573 613 930 955 1146 1226 1839 1910 1949 2865 3065 3678 3898 5730 5847 5921 6130 9195 9745 11694 11842 17763 18390 19003 19490 29235 29605 35526 38006 57009 58470 59210 60419 88815 95015 114018 117083 120838 177630 181257 190030 234166 285045 302095 351249 362514 372259 570090 585415 604190 702498 744518 906285 1116777 1170830 1194737 1756245 1812570 1861295 2233554 2389474 3512490 3584211 3629573 3722590 5583885 5973685 7168422 7259146 10888719 11167770 11540029 11947370 17921055 18147865 21777438 23080058 34620087 35842110 36295730 37036847 54443595 57700145 69240174 74073694 108887190 111110541 115400290 173100435 185184235 222221082 228194767 346200870 370368470 456389534 555552705 684584301 1111105410 1140973835 1369168602 2281947670 3422921505 6845843010 7074037777 14148075554 21222113331 35370188885 42444226662 70740377770 106110566655 212221133310