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20012211002212 = 2211213157173117101
BaseRepresentation
bin1001000110011011101001…
…01110100101101101100100
32121212011000101121200121221
410203031310232211231210
510110340002004032322
6110321252142150124
74133556146565262
oct443156456455544
977764011550557
1020012211002212
116416149436800
1222b2600b82344
13b221b3085630
144d284bcc3432
1524a86bdd59c7
hex123374ba5b64

20012211002212 has 144 divisors (see below), whose sum is σ = 41961244910256. Its totient is φ = 8294951808000.

The previous prime is 20012211002153. The next prime is 20012211002227. The reversal of 20012211002212 is 21220011221002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1880233318656 + 18131977683556 = 1371216^2 + 4258166^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170838462 + ... + 170955562.

It is an arithmetic number, because the mean of its divisors is an integer number (291397534099).

Almost surely, 220012211002212 is an apocalyptic number.

20012211002212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20012211002212 is an abundant number, since it is smaller than the sum of its proper divisors (21949033908044).

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

20012211002212 is a wasteful number, since it uses less digits than its factorization.

20012211002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117470 (or 117457 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20012211002212 its reverse (21220011221002), we get a palindrome (41232222223214).

The spelling of 20012211002212 in words is "twenty trillion, twelve billion, two hundred eleven million, two thousand, two hundred twelve".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 157 173 242 286 314 346 484 572 628 692 1573 1727 1903 2041 2249 3146 3454 3806 4082 4498 6292 6908 7612 8164 8996 18997 20933 22451 24739 27161 37994 41866 44902 49478 54322 75988 83732 89804 98956 108644 117101 234202 246961 272129 298771 353093 468404 493922 544258 597542 706186 987844 1088516 1195084 1288111 1412372 1522313 2576222 3044626 3286481 3884023 5152444 6089252 6572962 7768046 13145924 14169221 15536092 16745443 18384857 20258473 28338442 33490886 36769714 40516946 42724253 56676884 66981772 73539428 81033892 85448506 170897012 184199873 202233427 222843203 239003141 263360149 368399746 404466854 445686406 478006282 526720298 736799492 808933708 891372812 956012564 1053440596 2224567697 2451275233 2629034551 2896961639 3180580261 4449135394 4902550466 5258069102 5793923278 6361160522 8898270788 9805100932 10516138204 11587846556 12722321044 28919380061 31866578029 34986382871 41347543393 57838760122 63733156058 69972765742 82695086786 115677520244 127466312116 139945531484 165390173572 384850211581 454822977323 769700423162 909645954646 1539400846324 1819291909292 5003052750553 10006105501106 20012211002212