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21201022010212 = 22117310121374723
BaseRepresentation
bin1001101001000001111110…
…11000101100001101100100
32210001210112200021010002021
410310200333120230031210
510234324143113311322
6113031340503552524
74315503042456352
oct464407730541544
983053480233067
1021201022010212
116834337240570
122464a9745b744
13baa32b543cc5
145341c63c27d2
1526b74964e4c7
hex13483f62c364

21201022010212 has 144 divisors (see below), whose sum is σ = 41750692272576. Its totient is φ = 9340040448000.

The previous prime is 21201022010171. The next prime is 21201022010279.

It is a happy number.

21201022010212 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4488886483 + ... + 4488891205.

It is an arithmetic number, because the mean of its divisors is an integer number (289935363004).

Almost surely, 221201022010212 is an apocalyptic number.

21201022010212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21201022010212 is a deficient number, since it is larger than the sum of its proper divisors (20549670262364).

21201022010212 is a wasteful number, since it uses less digits than its factorization.

21201022010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5047 counting only the distinct ones).

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

It can be divided in two parts, 2120102 and 2010212, that added together give a palindrome (4130314).

The spelling of 21201022010212 in words is "twenty-one trillion, two hundred one billion, twenty-two million, ten thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 73 101 137 146 202 274 292 404 548 803 1111 1507 1606 2222 3014 3212 4444 4723 6028 7373 9446 10001 10201 13837 14746 18892 20002 20402 27674 29492 40004 40804 51953 55348 81103 103906 110011 112211 152207 162206 207812 220022 224422 304414 324412 344779 440044 448844 477023 608828 647051 689558 744673 954046 1010101 1294102 1379116 1397537 1489346 1908092 2020202 2588204 2795074 2978692 3792569 4040404 5247253 5590148 7117561 7585138 8191403 10494506 11111111 14235122 15170276 15372907 16382806 20989012 22222222 28470244 30745814 32765612 34822679 44444444 47234723 48179323 61491628 65352151 69645358 94469446 96358646 102020201 130704302 139290716 188938892 192717292 204040402 261408604 383049469 408080804 519581953 529972553 718873661 766098938 1039163906 1059945106 1122222211 1437747322 1532197876 2078327812 2119890212 2244444422 2875494644 3517090579 4488888844 4770707023 6600567251 7034181158 9541414046 13201134502 14068362316 19082828092 26402269004 38687996369 52477777253 72606239761 77375992738 104955554506 145212479522 154751985476 209911109012 290424959044 481841409323 963682818646 1927365637292 5300255502553 10600511005106 21201022010212