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220221301301130 = 23571736132310449
BaseRepresentation
bin110010000100101001000100…
…011011111001111110001010
31001212201221200010112110112110
4302010221010123321332022
5212331101211113114010
62100212134050323150
764246315066350243
oct6204510433717612
91055657603473473
10220221301301130
1164195369477388
12208484442894b6
1395b5a19a3b97c
143c54aa6dc7cca
151a6d6dc4b1120
hexc84a446f9f8a

220221301301130 has 128 divisors (see below), whose sum is σ = 544203910540800. Its totient is φ = 57012245176320.

The previous prime is 220221301301087. The next prime is 220221301301153. The reversal of 220221301301130 is 31103103122022.

It is a junction number, because it is equal to n+sod(n) for n = 220221301301097 and 220221301301106.

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, 94160146 + ... + 96470594.

It is an arithmetic number, because the mean of its divisors is an integer number (4251593051100).

Almost surely, 2220221301301130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220221301301130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272101955270400).

220221301301130 is an abundant number, since it is smaller than the sum of its proper divisors (323982609239670).

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

220221301301130 is a wasteful number, since it uses less digits than its factorization.

220221301301130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311216.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 220221301301130 its reverse (31103103122022), we get a palindrome (251324404423152).

The spelling of 220221301301130 in words is "two hundred twenty trillion, two hundred twenty-one billion, three hundred one million, three hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 73 142 146 213 219 355 365 426 438 613 710 730 1065 1095 1226 1839 2130 2190 3065 3678 5183 6130 9195 10366 15549 18390 25915 31098 43523 44749 51830 77745 87046 89498 130569 134247 155490 217615 223745 261138 268494 435230 447490 652845 671235 1305690 1342470 2310449 3177179 4620898 6354358 6931347 9531537 11552245 13862694 15885895 19063074 23104490 31771790 34656735 47657685 69313470 95315370 164041879 168662777 328083758 337325554 492125637 505988331 820209395 843313885 984251274 1011976662 1416305237 1640418790 1686627770 2460628185 2529941655 2832610474 4248915711 4921256370 5059883310 7081526185 8497831422 11975057167 14163052370 21244578555 23950114334 35925171501 42489157110 59875285835 71850343002 100557671827 103390282301 119750571670 179625857505 201115343654 206780564602 301673015481 310170846903 359251715010 502788359135 516951411505 603346030962 620341693806 1005576718270 1033902823010 1508365077405 1550854234515 3016730154810 3101708469030 7340710043371 14681420086742 22022130130113 36703550216855 44044260260226 73407100433710 110110650650565 220221301301130