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21112102122111 = 32711132857820247
BaseRepresentation
bin1001100110011100010110…
…10110001111001001111111
32202202022000200210202221100
410303032023112033021333
510231400041120401421
6112522433230104143
74306204400054160
oct463161326171177
982668020722840
1021112102122111
1167aa657290540
12244b80034b053
13ba1b2a42b1c0
1452db8cb27767
1526929302ac26
hex13338b58f27f

21112102122111 has 96 divisors (see below), whose sum is σ = 40959064194048. Its totient is φ = 10120129528320.

The previous prime is 21112102122103. The next prime is 21112102122127. The reversal of 21112102122111 is 11122120121112.

It is a happy number.

21112102122111 is a `hidden beast` number, since 21 + 11 + 210 + 212 + 211 + 1 = 666.

It is not a de Polignac number, because 21112102122111 - 23 = 21112102122103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112102122151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25328590 + ... + 26148836.

It is an arithmetic number, because the mean of its divisors is an integer number (426656918688).

Almost surely, 221112102122111 is an apocalyptic number.

21112102122111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21112102122111 is a deficient number, since it is larger than the sum of its proper divisors (19846962071937).

21112102122111 is a wasteful number, since it uses less digits than its factorization.

21112102122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823141 (or 823138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21112102122111 its reverse (11122120121112), we get a palindrome (32234222243223).

The spelling of 21112102122111 in words is "twenty-one trillion, one hundred twelve billion, one hundred two million, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 2857 3003 8571 9009 19999 25713 31427 37141 59997 94281 111423 179991 219989 259987 282843 334269 408551 659967 779961 820247 1225653 1979901 2339883 2460741 2859857 3676959 5741729 7382223 8579571 9022717 10663211 17225187 25738713 27068151 31989633 51675561 63159019 74642477 81204453 95968899 117295321 189477057 223927431 351885963 568431171 671782293 821067247 1055657889 2343445679 2463201741 7030337037 7389605223 16404119753 21091011111 25777902469 30464793827 49212359259 77333707407 91394381481 147637077777 180445317283 213253556789 232001122221 274183144443 335112732097 541335951849 639760670367 1005338196291 1624007855547 1919282011101 2345789124679 3016014588873 7037367374037 21112102122111