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211213102221212 = 227132237963243709
BaseRepresentation
bin110000000001100011100001…
…111011100000011110011100
31000200211202221020201012222112
4300001203201323200132130
5210141003413132034322
62025113543141133152
762326433366505620
oct6001434173403634
91020752836635875
10211213102221212
1161331a78987153
121b8326206ba1b8
1390b1405314600
143a22aa9415180
15196420e0b25e2
hexc018e1ee079c

211213102221212 has 144 divisors (see below), whose sum is σ = 477369820730880. Its totient is φ = 79913561105664.

The previous prime is 211213102221211. The next prime is 211213102221241. The reversal of 211213102221212 is 212122201312112.

It is a super-2 number, since 2×2112131022212122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211213102221211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866539214 + ... + 866782922.

It is an arithmetic number, because the mean of its divisors is an integer number (3315068199520).

Almost surely, 2211213102221212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211213102221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238684910365440).

211213102221212 is an abundant number, since it is smaller than the sum of its proper divisors (266156718509668).

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

211213102221212 is a wasteful number, since it uses less digits than its factorization.

211213102221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251732 (or 251717 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 211213102221212 its reverse (212122201312112), we get a palindrome (423335303533324).

The spelling of 211213102221212 in words is "two hundred eleven trillion, two hundred thirteen billion, one hundred two million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 169 182 299 322 338 364 598 644 676 1183 1196 2093 2366 3887 4186 4732 7774 7963 8372 15548 15926 27209 31852 54418 55741 103519 108836 111482 183149 207038 222964 243709 366298 414076 487418 724633 732596 974836 1282043 1345747 1449266 1705963 2380937 2564086 2691494 2898532 3168217 3411926 4761874 5128172 5382988 5605307 6336434 6823852 9420229 9523748 11210614 12672868 16666559 18840458 22177519 22421228 30952181 33333118 37680916 39237149 41186821 44355038 61904362 66666236 72868991 78474298 82373642 88710076 123808724 145737982 156948596 164747284 216665267 288307747 291475964 433330534 510082937 576615494 866661068 947296883 1020165874 1153230988 1894593766 1940654767 2040331748 3789187532 3881309534 6631078181 7762619068 13262156362 13584583369 25228511971 26524312724 27169166738 44635059641 50457023942 54338333476 89270119282 100914047884 176599583797 178540238564 312445417487 327970655623 353199167594 580255775333 624890834974 655941311246 706398335188 1160511550666 1249781669948 1311882622492 2295794589361 2321023101332 4061790427331 4591589178722 7543325079329 8123580854662 9183178357444 15086650158658 16247161709324 30173300317316 52803275555303 105606551110606 211213102221212