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21211202221110 = 232511210321188719
BaseRepresentation
bin1001101001010100111100…
…01011000111010000110110
32210002202211011010102002100
410310222132023013100312
510240011020232033420
6113040143005122530
74316313236025456
oct464523613072066
983082734112070
1021211202221110
116838690751700
122466a58859446
13bab29167a335
145348b0455d66
1526bb43258190
hex134a9e2c7436

21211202221110 has 144 divisors (see below), whose sum is σ = 60624655116480. Its totient is φ = 5141584166400.

The previous prime is 21211202221049. The next prime is 21211202221123. The reversal of 21211202221110 is 1112220211212.

21211202221110 is a `hidden beast` number, since 21 + 211 + 202 + 221 + 1 + 10 = 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 71 ways as a sum of consecutive naturals, for example, 112301331 + ... + 112490049.

It is an arithmetic number, because the mean of its divisors is an integer number (421004549420).

Almost surely, 221211202221110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211202221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30312327558240).

21211202221110 is an abundant number, since it is smaller than the sum of its proper divisors (39413452895370).

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

21211202221110 is a wasteful number, since it uses less digits than its factorization.

21211202221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199075 (or 199061 counting only the distinct ones).

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

Adding to 21211202221110 its reverse (1112220211212), we get a palindrome (22323422432322).

The spelling of 21211202221110 in words is "twenty-one trillion, two hundred eleven billion, two hundred two million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10321 10890 20642 30963 51605 61926 92889 103210 113531 154815 185778 188719 227062 309630 340593 377438 464445 566157 567655 681186 928890 943595 1021779 1132314 1135310 1248841 1698471 1702965 1887190 2043558 2075909 2497682 2830785 3396942 3405930 3746523 4151818 5108895 5661570 6227727 6244205 7493046 8492355 10217790 10379545 11239569 12455454 12488410 16984710 18683181 18732615 20759090 22479138 22834999 31138635 37366362 37465230 45669998 56197845 62277270 68504997 93415905 112395690 114174995 137009994 186831810 205514991 228349990 342524985 411029982 685049970 1027574955 1947768799 2055149910 3895537598 5843306397 9738843995 11686612794 17529919191 19477687990 21425456789 29216531985 35059838382 42850913578 58433063970 64276370367 87649595955 107127283945 128552740734 175299191910 192829111101 214254567890 235680024679 321381851835 385658222202 471360049358 642763703670 707040074037 964145555505 1178400123395 1414080148074 1928291111010 2121120222111 2356800246790 3535200370185 4242240444222 7070400740370 10605601110555 21211202221110