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22102121012220 = 223252322723518399
BaseRepresentation
bin1010000011010000011010…
…00100100101101111111100
32220020221102211000021122200
411001220031010211233330
510344110120434342340
6115001324010511500
74440553106555364
oct501501504455774
986227384007580
1022102121012220
117051503123887
12258b657735590
13c442b48c1752
14565a697279a4
15284dd83b6330
hex141a0d125bfc

22102121012220 has 144 divisors (see below), whose sum is σ = 70266205900800. Its totient is φ = 5612806793088.

The previous prime is 22102121012207. The next prime is 22102121012227. The reversal of 22102121012220 is 2221012120122.

It is a happy number.

22102121012220 is a `hidden beast` number, since 2 + 210 + 21 + 210 + 1 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22102121012193 and 22102121012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102121012227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10819420 + ... + 12698979.

It is an arithmetic number, because the mean of its divisors is an integer number (487959763200).

Almost surely, 222102121012220 is an apocalyptic number.

22102121012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102121012220 is an abundant number, since it is smaller than the sum of its proper divisors (48164084888580).

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

22102121012220 is a wasteful number, since it uses less digits than its factorization.

22102121012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23518664 (or 23518659 counting only the distinct ones).

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

Adding to 22102121012220 its reverse (2221012120122), we get a palindrome (24323133132342).

The spelling of 22102121012220 in words is "twenty-two trillion, one hundred two billion, one hundred twenty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 227 230 276 345 414 454 460 681 690 828 908 1035 1135 1362 1380 2043 2070 2270 2724 3405 4086 4140 4540 5221 6810 8172 10215 10442 13620 15663 20430 20884 26105 31326 40860 46989 52210 62652 78315 93978 104420 156630 187956 234945 313260 469890 939780 23518399 47036798 70555197 94073596 117591995 141110394 211665591 235183990 282220788 352775985 423331182 470367980 540923177 705551970 846662364 1058327955 1081846354 1411103940 1622769531 2116655910 2163692708 2704615885 3245539062 4233311820 4868308593 5338676573 5409231770 6491078124 8113847655 9736617186 10677353146 10818463540 16016029719 16227695310 19473234372 21354706292 24341542965 26693382865 32032059438 32455390620 48048089157 48683085930 53386765730 64064118876 80080148595 96096178314 97366171860 106773531460 122789561179 160160297190 192192356628 240240445785 245579122358 320320594380 368368683537 480480891570 491158244716 613947805895 736737367074 960961783140 1105106050611 1227895611790 1473474734148 1841843417685 2210212101222 2455791223580 3683686835370 4420424202444 5525530253055 7367373670740 11051060506110 22102121012220