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223001013212010 = 233511174416736249
BaseRepresentation
bin110010101101000101111000…
…001011010101001101101010
31002020120200121000220100021000
4302231011320023111031222
5213212122033340241020
62110141130131455430
764654201664632425
oct6255057013251552
91066520530810230
10223001013212010
1165067220374260
1221017110157576
139757b9cc87537
143d0d4415649bc
151abab7c5aa090
hexcad1782d536a

223001013212010 has 128 divisors (see below), whose sum is σ = 686890821600000. Its totient is φ = 50880801576960.

The previous prime is 223001013211897. The next prime is 223001013212071. The reversal of 223001013212010 is 10212310100322.

223001013212010 is a `hidden beast` number, since 2 + 2 + 300 + 10 + 1 + 321 + 20 + 10 = 666.

223001013212010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2208317635 + ... + 2208418614.

It is an arithmetic number, because the mean of its divisors is an integer number (5366334543750).

Almost surely, 2223001013212010 is an apocalyptic number.

223001013212010 is an abundant number, since it is smaller than the sum of its proper divisors (463889808387990).

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

223001013212010 is a wasteful number, since it uses less digits than its factorization.

223001013212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416736293 (or 4416736287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223001013212010 its reverse (10212310100322), we get a palindrome (233213323312332).

The spelling of 223001013212010 in words is "two hundred twenty-three trillion, one billion, thirteen million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1122 1485 1530 1683 1870 2295 2805 2970 3366 4590 5049 5610 8415 10098 16830 25245 50490 4416736249 8833472498 13250208747 22083681245 26500417494 39750626241 44167362490 48584098739 66251043735 75084516233 79501252482 97168197478 119251878723 132502087470 145752296217 150169032466 198753131205 225253548699 238503757446 242920493695 291504592434 375422581165 397506262410 437256888651 450507097398 485840987390 596259393615 675760646097 728761481085 750845162330 825929678563 874513777302 1126267743495 1192518787230 1311770665953 1351521292194 1457522962170 1651859357126 2027281938291 2186284443255 2252535486990 2477789035689 2623541331906 3378803230485 4054563876582 4129648392815 4372568886510 4955578071378 6558853329765 6757606460970 7433367107067 8259296785630 10136409691455 12388945178445 13117706659530 14866734214134 20272819382910 22300101321201 24777890356890 37166835535335 44600202642402 74333671070670 111500506606005 223001013212010