Search a number
-
+
12222230103210 = 23519371144750627
BaseRepresentation
bin1011000111011011010110…
…1011110000010010101010
31121021102201020020001000210
42301312311223300102222
53100222111401300320
641554452012241550
72401012153511031
oct261666553602252
947242636201023
1012222230103210
113992467295626
1214549001702b6
136a8722427c8a
143037b821b718
15162ddccc70e0
hexb1db5af04aa

12222230103210 has 128 divisors (see below), whose sum is σ = 31715128903680. Its totient is φ = 3003947576064.

The previous prime is 12222230103203. The next prime is 12222230103287. The reversal of 12222230103210 is 1230103222221.

It is a Curzon 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, 241391917 + ... + 241442543.

It is an arithmetic number, because the mean of its divisors is an integer number (247774444560).

Almost surely, 212222230103210 is an apocalyptic number.

12222230103210 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 12222230103210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857564451840).

12222230103210 is an abundant number, since it is smaller than the sum of its proper divisors (19492898800470).

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

12222230103210 is a wasteful number, since it uses less digits than its factorization.

12222230103210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62140.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12222230103210 its reverse (1230103222221), we get a palindrome (13452333325431).

The spelling of 12222230103210 in words is "twelve trillion, two hundred twenty-two billion, two hundred thirty million, one hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 3515 4218 7030 10545 11447 21090 22894 34341 50627 57235 68682 101254 114470 151881 171705 217493 253135 303762 343410 423539 434986 506270 652479 759405 847078 961913 1087465 1270617 1304958 1518810 1873199 1923826 2117695 2174930 2541234 2885739 3262395 3746398 4235390 4809565 5619597 5771478 6353085 6524790 8047241 9365995 9619130 11239194 12706170 14428695 16094482 18731990 24141723 28097985 28857390 35590781 40236205 48283446 56195970 71181562 80472410 106772343 120708615 177953905 213544686 241417230 355907810 533861715 579527269 1067723430 1159054538 1738581807 2897636345 3477163614 5795272690 8692909035 11011018111 17385818070 21442508953 22022036222 33033054333 42885017906 55055090555 64327526859 66066108666 107212544765 110110181110 128655053718 165165271665 214425089530 321637634295 330330543330 407407670107 643275268590 814815340214 1222223010321 2037038350535 2444446020642 4074076701070 6111115051605 12222230103210