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22010122102212 = 2232171012111687591
BaseRepresentation
bin1010000000100101000011…
…00000100110010111000100
32212221010222020211102111100
411000102201200212113010
510341103212224232322
6114451151022540100
74431115226000016
oct500224140462704
985833866742440
1022010122102212
117016493140052
122575861437630
13c387129172aa
1456141d1761b6
152828017dedac
hex1404a18265c4

22010122102212 has 144 divisors (see below), whose sum is σ = 59774697650304. Its totient is φ = 6804362880000.

The previous prime is 22010122102141. The next prime is 22010122102219. The reversal of 22010122102212 is 21220122101022.

It is a happy number.

22010122102212 is a `hidden beast` number, since 220 + 1 + 0 + 1 + 221 + 0 + 221 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22010122102219) 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, 12198537 + ... + 13886127.

It is an arithmetic number, because the mean of its divisors is an integer number (415102067016).

Almost surely, 222010122102212 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 22010122102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29887348825152).

22010122102212 is an abundant number, since it is smaller than the sum of its proper divisors (37764575548092).

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

22010122102212 is a wasteful number, since it uses less digits than its factorization.

22010122102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687930 (or 1687925 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22010122102212 its reverse (21220122101022), we get a palindrome (43230244203234).

The spelling of 22010122102212 in words is "twenty-two trillion, ten billion, one hundred twenty-two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 211 303 306 404 422 606 612 633 844 909 1212 1266 1717 1818 1899 2532 3434 3587 3636 3798 5151 6868 7174 7596 10302 10761 14348 15453 20604 21311 21522 30906 32283 42622 43044 61812 63933 64566 85244 127866 129132 191799 255732 362287 383598 724574 767196 1086861 1449148 1687591 2173722 3260583 3375182 4347444 5062773 6521166 6750364 10125546 13042332 15188319 20251092 28689047 30376638 57378094 60753276 86067141 114756188 170446691 172134282 258201423 340893382 344268564 356081701 511340073 516402846 681786764 712163402 1022680146 1032805692 1068245103 1424326804 1534020219 2045360292 2136490206 2897593747 3068040438 3204735309 4272980412 5795187494 6053388917 6136080876 6409470618 8692781241 11590374988 12106777834 12818941236 17385562482 18160166751 24213555668 26078343723 34771124964 35964251801 36320333502 52156687446 54480500253 71928503602 72640667004 104313374892 107892755403 108961000506 143857007204 215785510806 217922001012 323678266209 431571021612 611392280617 647356532418 1222784561234 1294713064836 1834176841851 2445569122468 3668353683702 5502530525553 7336707367404 11005061051106 22010122102212