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21120122202210 = 234573941778447
BaseRepresentation
bin1001100110101011010010…
…11000011010100001100010
32202210001201122000001120000
410303111221120122201202
510232013002240432320
6112530241124200430
74306610213445663
oct463255130324142
982701648001500
1021120122202210
116802aa2423409
12245127a239116
13ba2807b82025
1453030dd3b36a
152695b2190c90
hex13356961a862

21120122202210 has 160 divisors (see below), whose sum is σ = 56886856519680. Its totient is φ = 5622399226368.

The previous prime is 21120122202181. The next prime is 21120122202253. The reversal of 21120122202210 is 1220222102112.

It is a happy number.

21120122202210 is a `hidden beast` number, since 21 + 1 + 201 + 2 + 220 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2500306207 + ... + 2500314653.

It is an arithmetic number, because the mean of its divisors is an integer number (355542853248).

Almost surely, 221120122202210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120122202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28443428259840).

21120122202210 is an abundant number, since it is smaller than the sum of its proper divisors (35766734317470).

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

21120122202210 is a wasteful number, since it uses less digits than its factorization.

21120122202210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13382 (or 13373 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21120122202210 its reverse (1220222102112), we get a palindrome (22340344304322).

The spelling of 21120122202210 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty-two million, two hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 739 810 1478 2217 3695 4177 4434 6651 7390 8354 8447 11085 12531 13302 16894 19953 20885 22170 25062 25341 33255 37593 39906 41770 42235 50682 59859 62655 66510 75186 76023 84470 99765 112779 119718 125310 126705 152046 187965 199530 225558 228069 253410 299295 338337 375930 380115 456138 563895 598590 676674 684207 760230 1127790 1140345 1368414 1691685 2280690 3086803 3383370 3421035 6173606 6242333 6842070 9260409 12484666 15434015 18520818 18726999 27781227 30868030 31211665 35283119 37453998 46302045 55562454 56180997 62423330 70566238 83343681 92604090 93634995 105849357 112361994 138906135 166687362 168542991 176415595 187269990 211698714 250031043 277812270 280904985 317548071 337085982 352831190 416718405 500062086 505628973 529246785 561809970 635096142 833436810 842714955 952644213 1011257946 1058493570 1250155215 1587740355 1685429910 1905288426 2500310430 2528144865 2857932639 3175480710 4763221065 5056289730 5715865278 9526442130 14289663195 26074224941 28579326390 52148449882 78222674823 130371124705 156445349646 234668024469 260742249410 391113374115 469336048938 704004073407 782226748230 1173340122345 1408008146814 2112012220221 2346680244690 3520020367035 4224024440442 7040040734070 10560061101105 21120122202210