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21210212002110 = 235371031069173543
BaseRepresentation
bin1001101001010011000110…
…01001101110100100111110
32210002200021010212001222120
410310221203021232210332
510240002003233031420
6113035500433223410
74316246553222555
oct464514311564476
983080233761876
1021210212002110
1168382227a949a
122466821101b66
13bab164486131
14534818b32d9c
1526bad6359d40
hex134a6326e93e

21210212002110 has 128 divisors (see below), whose sum is σ = 52837567211520. Its totient is φ = 5444631737856.

The previous prime is 21210212002033. The next prime is 21210212002141. The reversal of 21210212002110 is 1120021201212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21210212002110.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 122131999 + ... + 122305541.

It is an arithmetic number, because the mean of its divisors is an integer number (412793493840).

Almost surely, 221210212002110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210212002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26418783605760).

21210212002110 is an abundant number, since it is smaller than the sum of its proper divisors (31627355209410).

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

21210212002110 is a wasteful number, since it uses less digits than its factorization.

21210212002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174762.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21210212002110 its reverse (1120021201212), we get a palindrome (22330233203322).

The spelling of 21210212002110 in words is "twenty-one trillion, two hundred ten billion, two hundred twelve million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 103 111 185 206 222 309 370 515 555 618 1030 1069 1110 1545 2138 3090 3207 3811 5345 6414 7622 10690 11433 16035 19055 22866 32070 38110 39553 57165 79106 110107 114330 118659 173543 197765 220214 237318 330321 347086 395530 520629 550535 593295 660642 867715 1041258 1101070 1186590 1651605 1735430 2603145 3303210 4073959 5206290 6421091 8147918 12221877 12842182 17874929 19263273 20369795 24443754 32105455 35749858 38526546 40739590 53624787 61109385 64210910 89374645 96316365 107249574 122218770 178749290 185517467 192632730 268123935 371034934 536247870 556552401 661372373 927587335 1113104802 1322744746 1855174670 1984117119 2782762005 3306861865 3968234238 5565524010 6613723730 6864146279 9920585595 13728292558 19108299101 19841171190 20592438837 34320731395 38216598202 41184877674 57324897303 68641462790 95541495505 102962194185 114649794606 191082991010 205924388370 286624486515 573248973030 707007066737 1414014133474 2121021200211 3535035333685 4242042400422 7070070667370 10605106001055 21210212002110