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221103023000100 = 2235247118429132409
BaseRepresentation
bin110010010001011110001111…
…001001010000101000100100
31001222212020112211110122111120
4302101132033021100220210
5212440022442342000400
62102125154310333540
764400111012212353
oct6221361711205044
91058766484418446
10221103023000100
11644a52a138106a
122096b2b705a2b0
13964ac05726227
143c8562ca1b99a
151a865e4eaeca0
hexc9178f250a24

221103023000100 has 144 divisors (see below), whose sum is σ = 653346362323200. Its totient is φ = 57705397816320.

The previous prime is 221103023000077. The next prime is 221103023000129. The reversal of 221103023000100 is 1000320301122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221103023000100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1669782696 + ... + 1669915104.

Almost surely, 2221103023000100 is an apocalyptic number.

221103023000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221103023000100 is an abundant number, since it is smaller than the sum of its proper divisors (432243339323100).

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

221103023000100 is a wasteful number, since it uses less digits than its factorization.

221103023000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250902 (or 250895 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221103023000100 its reverse (1000320301122), we get a palindrome (222103343301222).

The spelling of 221103023000100 in words is "two hundred twenty-one trillion, one hundred three billion, twenty-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 118429 132409 236858 264818 355287 397227 473716 529636 592145 662045 710574 794454 1184290 1324090 1421148 1588908 1776435 1986135 2368580 2648180 2960725 3310225 3552870 3972270 5566163 5921450 6223223 6620450 7105740 7944540 8882175 9930675 11132326 11842900 12446446 13240900 16698489 17764350 18669669 19861350 22264652 24892892 27830815 31116115 33396978 35528700 37339338 39722700 55661630 62232230 66793956 74678676 83492445 93348345 111323260 124464460 139154075 155580575 166984890 186696690 278308150 311161150 333969780 373393380 417462225 466741725 556616300 622322300 834924450 933483450 1669848900 1866966900 15681065461 31362130922 47043196383 62724261844 78405327305 94086392766 156810654610 188172785532 235215981915 313621309220 392026636525 470431963830 737010076667 784053273050 940863927660 1176079909575 1474020153334 1568106546100 2211030230001 2352159819150 2948040306668 3685050383335 4422060460002 4704319638300 7370100766670 8844120920004 11055151150005 14740201533340 18425251916675 22110302300010 36850503833350 44220604600020 55275755750025 73701007666700 110551511500050 221103023000100