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220222202201001 = 3271113116172104217
BaseRepresentation
bin110010000100101001111010…
…001000100100001110101001
31001212202000222220201220211100
4302010221322020210032221
5212331110032230413001
62100212403311552013
764246346316024420
oct6204517210441651
91055660886656740
10220222202201001
1164195790a63830
1220848655b2b609
1395b5b3158bb10
143c54b508da2b7
151a6d741619586
hexc84a7a2243a9

220222202201001 has 96 divisors (see below), whose sum is σ = 427134572137728. Its totient is φ = 105591915601920.

The previous prime is 220222202200997. The next prime is 220222202201039. The reversal of 220222202201001 is 100102202222022.

220222202201001 is a `hidden beast` number, since 220 + 2 + 2 + 220 + 220 + 1 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 220222202201001 - 22 = 220222202200997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220222202201201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103605445 + ... + 105709661.

It is an arithmetic number, because the mean of its divisors is an integer number (4449318459768).

Almost surely, 2220222202201001 is an apocalyptic number.

220222202201001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220222202201001 is a deficient number, since it is larger than the sum of its proper divisors (206912369936727).

220222202201001 is a wasteful number, since it uses less digits than its factorization.

220222202201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115871 (or 2115868 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220222202201001 its reverse (100102202222022), we get a palindrome (320324404423023).

The spelling of 220222202201001 in words is "two hundred twenty trillion, two hundred twenty-two billion, two hundred two million, two hundred one thousand, one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 11617 34851 81319 104553 127787 151021 243957 383361 453063 731871 894509 1057147 1150083 1359189 1661231 2104217 2683527 3171441 4983693 6312651 8050581 9514323 11628617 14729519 14951079 18937953 23146387 27354821 34885851 44188557 69439161 82064463 104657553 132565671 162024709 191483747 208317483 246193389 300903031 486074127 574451241 902709093 1458222381 1723353723 2106321217 2708127279 6318963651 18956890953 24444688889 73334066667 171112822223 220002200001 268891577779 317780955557 513338466669 806674733337 953342866671 1540015400007 1882241044453 2224466688899 2420024200011 2860028600013 3495590511127 5646723133359 6673400066697 10486771533381 16940169400077 20020200200091 24469133577889 31460314600143 73407400733667 220222202201001