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223112223310312 = 23767223267799611
BaseRepresentation
bin110010101110101101011100…
…110100001100000111101000
31002020222022122110022200102201
4302232231130310030013220
5213220432313131412222
62110304201310105544
764665216612110320
oct6256553464140750
91066868573280381
10223112223310312
11650aa3a9598106
12210347881ab2b4
1397655140a312b
143d14991346280
151abd9daa35427
hexcaeb5cd0c1e8

223112223310312 has 128 divisors (see below), whose sum is σ = 487596309258240. Its totient is φ = 93734010881280.

The previous prime is 223112223310307. The next prime is 223112223310351. The reversal of 223112223310312 is 213013322211322.

223112223310312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231122233103123 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2239785387 + ... + 2239884997.

It is an arithmetic number, because the mean of its divisors is an integer number (3809346166080).

Almost surely, 2223112223310312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223112223310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243798154629120).

223112223310312 is an abundant number, since it is smaller than the sum of its proper divisors (264484085947928).

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

223112223310312 is a wasteful number, since it uses less digits than its factorization.

223112223310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102591 (or 102587 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 223112223310312 its reverse (213013322211322), we get a palindrome (436125545521634).

The spelling of 223112223310312 in words is "two hundred twenty-three trillion, one hundred twelve billion, two hundred twenty-three million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 67 134 223 268 446 469 536 892 938 1561 1784 1876 2677 3122 3752 5354 6244 10708 12488 14941 18739 21416 29882 37478 59764 74956 99611 104587 119528 149912 179359 199222 209174 358718 398444 418348 596971 697277 717436 796888 836696 1193942 1255513 1394554 1434872 2387884 2511026 2789108 4178797 4775768 5022052 5578216 6673937 8357594 10044104 13347874 16715188 22213253 26695748 33430376 39997057 44426506 46717559 53391496 79994114 88853012 93435118 155492771 159988228 177706024 186870236 266658647 279979399 310985542 319976456 373740472 533317294 559958798 621971084 1066634588 1119917596 1243942168 1488287951 1866610529 2133269176 2239835192 2976575902 3733221058 5953151804 7466442116 10418015657 11906303608 14932884232 17866129349 20836031314 35732258698 41672062628 59464878281 71464517396 83344125256 118929756562 125062905443 142929034792 237859513124 250125810886 416254147967 475719026248 500251621772 832508295934 1000503243544 1665016591868 3330033183736 3984146844827 7968293689654 15936587379308 27889027913789 31873174758616 55778055827578 111556111655156 223112223310312