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22012200100011 = 31121929118193187
BaseRepresentation
bin1010000000101000111010…
…10111100010000010101011
32212221100100001221122120210
411000110131113202002223
510341121441211200021
6114452133133352203
74431220560455442
oct500243527420253
985840301848523
1022012200100011
11701735a110600
122576141338663
13c389842a05a4
14561579135d59
152828c3e5ce76
hex14051d5e20ab

22012200100011 has 96 divisors (see below), whose sum is σ = 35159310547200. Its totient is φ = 12192307142400.

The previous prime is 22012200099971. The next prime is 22012200100097. The reversal of 22012200100011 is 11000100221022.

It is not a de Polignac number, because 22012200100011 - 221 = 22012198002859 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22012200100011.

It is not an unprimeable number, because it can be changed into a prime (22012200100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236168760 + ... + 236261946.

It is an arithmetic number, because the mean of its divisors is an integer number (366242818200).

Almost surely, 222012200100011 is an apocalyptic number.

22012200100011 is a deficient number, since it is larger than the sum of its proper divisors (13147110447189).

22012200100011 is a wasteful number, since it uses less digits than its factorization.

22012200100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94441 (or 94430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22012200100011 its reverse (11000100221022), we get a palindrome (33012300321033).

The spelling of 22012200100011 in words is "twenty-two trillion, twelve billion, two hundred million, one hundred thousand, eleven".

Divisors: 1 3 11 19 29 33 57 87 121 209 319 363 551 627 957 1181 1653 2299 3509 3543 6061 6897 10527 12991 18183 22439 34249 38973 66671 67317 93187 102747 142901 200013 246829 279561 376739 428703 650731 740487 1025057 1130217 1770553 1952193 2702423 2715119 3075171 4144129 5311659 7158041 8107269 8145357 11275627 12432387 19476083 21474123 29726653 33826881 51346037 58428249 78738451 89179959 110053847 154038111 214236913 236215353 326993183 330161541 564806407 642710739 980979549 1210592317 1694419221 2091023093 3191561563 3631776951 6212870477 6273069279 9574684689 13316515487 18638611431 23001254023 35107177193 39949546461 60639669697 69003762069 105321531579 181919009091 253013794253 386178949123 667036366667 759041382759 1158536847369 2001109100001 7337400033337 22012200100011