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223102101440010 = 235139723392521373
BaseRepresentation
bin110010101110100100000001…
…100000010100011000001010
31002020221100112001020101200110
4302232210001200110120022
5213220301100432040020
62110255405051215150
764664411024454342
oct6256440140243012
91066840461211613
10223102101440010
11650a6085004141
12210328224474b6
139764590085670
143d142b0d3bd22
151abd5e71028e0
hexcae90181460a

223102101440010 has 128 divisors (see below), whose sum is σ = 582827097565440. Its totient is φ = 54328022654976.

The previous prime is 223102101439979. The next prime is 223102101440131. The reversal of 223102101440010 is 10044101201322.

It is a super-3 number, since 3×2231021014400103 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87223684 + ... + 89745056.

It is an arithmetic number, because the mean of its divisors is an integer number (4553336699730).

Almost surely, 2223102101440010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223102101440010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291413548782720).

223102101440010 is an abundant number, since it is smaller than the sum of its proper divisors (359724996125430).

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

223102101440010 is a wasteful number, since it uses less digits than its factorization.

223102101440010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523832.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 223102101440010 its reverse (10044101201322), we get a palindrome (233146202641332).

The spelling of 223102101440010 in words is "two hundred twenty-three trillion, one hundred two billion, one hundred one million, four hundred forty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 97 130 194 195 291 390 485 582 970 1261 1455 2339 2522 2910 3783 4678 6305 7017 7566 11695 12610 14034 18915 23390 30407 35085 37830 60814 70170 91221 152035 182442 226883 304070 453766 456105 680649 912210 1134415 1361298 2268830 2521373 2949479 3403245 5042746 5898958 6806490 7564119 8848437 12606865 14747395 15128238 17696874 25213730 29494790 32777849 37820595 44242185 65555698 75641190 88484370 98333547 163889245 196667094 244573181 327778490 489146362 491667735 733719543 983335470 1222865905 1467439086 2445731810 3179451353 3668597715 5897491447 6358902706 7337195430 9538354059 11794982894 15897256765 17692474341 19076708118 29487457235 31794513530 35384948682 47691770295 58974914470 76667388811 88462371705 95383540590 153334777622 176924743410 230002166433 383336944055 460004332866 572056670359 766673888110 1144113340718 1150010832165 1716170011077 2300021664330 2860283351795 3432340022154 5720566703590 7436736714667 8580850055385 14873473429334 17161700110770 22310210144001 37183683573335 44620420288002 74367367146670 111551050720005 223102101440010