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12223101002320 = 24513311408326921
BaseRepresentation
bin1011000111011110100110…
…0101111110001001010000
31121021111221220222022000101
42301313221211332021100
53100230402324033240
641555114242502144
72401042560154345
oct261675145761120
947244856868011
1012223101002320
113992873950a5a
121454b03964954
136a88309a29b0
1430385bb607cc
15162e3e4a639a
hexb1de997e250

12223101002320 has 160 divisors (see below), whose sum is σ = 31595431762944. Its totient is φ = 4367087308800.

The previous prime is 12223101002317. The next prime is 12223101002323. The reversal of 12223101002320 is 2320010132221.

It is an interprime number because it is at equal distance from previous prime (12223101002317) and next prime (12223101002323).

It is a super-2 number, since 2×122231010023202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223101002323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 454022460 + ... + 454049380.

Almost surely, 212223101002320 is an apocalyptic number.

12223101002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223101002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797715881472).

12223101002320 is an abundant number, since it is smaller than the sum of its proper divisors (19372330760624).

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

12223101002320 is a wasteful number, since it uses less digits than its factorization.

12223101002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41061 (or 41055 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12223101002320 its reverse (2320010132221), we get a palindrome (14543111134541).

The spelling of 12223101002320 in words is "twelve trillion, two hundred twenty-three billion, one hundred one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 4030 6448 8060 14083 16120 26921 28166 32240 53842 56332 70415 107684 112664 134605 140830 183079 215368 225328 269210 281660 349973 366158 430736 436573 538420 563320 699946 732316 834551 873146 915395 1076840 1126640 1399892 1464632 1669102 1746292 1749865 1830790 2153680 2182865 2799784 2929264 3338204 3492584 3499730 3661580 4172755 4365730 5599568 5675449 6676408 6985168 6999460 7323160 8345510 8731460 10849163 11350898 13352816 13998920 14646320 16691020 17462920 21698326 22701796 27997840 28377245 33382040 34925840 43396652 45403592 54245815 56754490 66764080 86793304 90807184 108491630 113508980 173586608 216983260 227017960 379128443 433966520 454035920 758256886 867933040 1516513772 1895642215 3033027544 3791284430 4928669759 6066055088 7582568860 9857339518 11752981733 15165137720 19714679036 23505963466 24643348795 30330275440 39429358072 47011926932 49286697590 58764908665 78858716144 94023853864 98573395180 117529817330 152788762529 188047707728 197146790360 235059634660 305577525058 394293580720 470119269320 611155050116 763943812645 940238538640 1222310100232 1527887625290 2444620200464 3055775250580 6111550501160 12223101002320