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12223322010030 = 23519711531197279
BaseRepresentation
bin1011000111011111011011…
…0001000011000110101110
31121021112112022211122121010
42301313312301003012232
53100231330413310110
641555152215450050
72401051212535605
oct261676661030656
947245468748533
1012223322010030
11399297768235a
121454b65986926
136a8867703ca1
1430387d250a3c
15162e53ab0020
hexb1df6c431ae

12223322010030 has 128 divisors (see below), whose sum is σ = 31335513292800. Its totient is φ = 3042500227200.

The previous prime is 12223322010017. The next prime is 12223322010059. The reversal of 12223322010030 is 3001022332221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12223322009979 and 12223322010006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61860931 + ... + 62058209.

It is an arithmetic number, because the mean of its divisors is an integer number (244808697600).

Almost surely, 212223322010030 is an apocalyptic number.

12223322010030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223322010030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667756646400).

12223322010030 is an abundant number, since it is smaller than the sum of its proper divisors (19112191282770).

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

12223322010030 is a wasteful number, since it uses less digits than its factorization.

12223322010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198910.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12223322010030 its reverse (3001022332221), we get a palindrome (15224344342251).

The spelling of 12223322010030 in words is "twelve trillion, two hundred twenty-three billion, three hundred twenty-two million, ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 71 95 114 142 190 213 285 355 426 570 710 1065 1349 1531 2130 2698 3062 4047 4593 6745 7655 8094 9186 13490 15310 20235 22965 29089 40470 45930 58178 87267 108701 145445 174534 197279 217402 290890 326103 394558 436335 543505 591837 652206 872670 986395 1087010 1183674 1630515 1972790 2065319 2959185 3261030 3748301 4130638 5918370 6195957 7496602 10326595 11244903 12391914 14006809 18741505 20653190 22489806 28013618 30979785 37483010 42020427 56224515 61959570 70034045 84040854 112449030 140068090 210102135 266129371 302034149 420204270 532258742 604068298 798388113 906102447 1330646855 1510170745 1596776226 1812204894 2661293710 3020341490 3991940565 4530512235 5738648831 7983881130 9061024470 11477297662 17215946493 21444424579 28693244155 34431892986 42888849158 57386488310 64333273737 86079732465 107222122895 128666547474 172159464930 214444245790 321666368685 407444067001 643332737370 814888134002 1222332201003 2037220335005 2444664402006 4074440670010 6111661005015 12223322010030