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211010212012212 = 223231673119074111
BaseRepresentation
bin101111111110100110100100…
…101110110010000010110100
31000200010101020110222201002100
4233332212210232302002310
5210124142403233342322
62024440430403542100
762305661522260404
oct5776464456620264
91020111213881070
10211010212012212
1161263a23724178
121b7bb23908a930
1390982402a20c2
143a16d3d54a804
15195dcd7034dac
hexbfe9a4bb20b4

211010212012212 has 144 divisors (see below), whose sum is σ = 560607640879104. Its totient is φ = 66836264616000.

The previous prime is 211010212012151. The next prime is 211010212012289. The reversal of 211010212012212 is 212210212010112.

211010212012212 is a `hidden beast` number, since 211 + 0 + 10 + 21 + 201 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18717037 + ... + 27791147.

It is an arithmetic number, because the mean of its divisors is an integer number (3893108617216).

Almost surely, 2211010212012212 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 211010212012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280303820439552).

211010212012212 is an abundant number, since it is smaller than the sum of its proper divisors (349597428866892).

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

211010212012212 is a wasteful number, since it uses less digits than its factorization.

211010212012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9074530 (or 9074525 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211010212012212 its reverse (212210212010112), we get a palindrome (423220424022324).

The spelling of 211010212012212 in words is "two hundred eleven trillion, ten billion, two hundred twelve million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 67 93 124 134 186 201 268 279 311 372 402 558 603 622 804 933 1116 1206 1244 1866 2077 2412 2799 3732 4154 5598 6231 8308 9641 11196 12462 18693 19282 20837 24924 28923 37386 38564 41674 57846 62511 74772 83348 86769 115692 125022 173538 187533 250044 347076 375066 645947 750132 1291894 1937841 2583788 3875682 5813523 7751364 9074111 11627046 18148222 23254092 27222333 36296444 54444666 81666999 108889332 163333998 281297441 326667996 562594882 607965437 843892323 1125189764 1215930874 1687784646 1823896311 2431861748 2531676969 2822048521 3375569292 3647792622 5063353938 5471688933 5644097042 7295585244 8466145563 10126707876 10943377866 11288194084 16932291126 18846928547 21886755732 25398436689 33864582252 37693857094 50796873378 56540785641 75387714188 87483504151 101593746756 113081571282 169622356923 174967008302 189077250907 226163142564 262450512453 339244713846 349934016604 378154501814 524901024906 567231752721 678489427692 756309003628 787351537359 1049802049812 1134463505442 1574703074718 1701695258163 2268927010884 3149406149436 3403390516326 5861394778117 6806781032652 11722789556234 17584184334351 23445579112468 35168368668702 52752553003053 70336737337404 105505106006106 211010212012212