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220022120132001 = 321119799203122027
BaseRepresentation
bin110010000001101111100100…
…010100000010110110100001
31001212000220112212000200211100
4302001233210110002312201
5212314320300223211001
62055540433330505013
764226034150346245
oct6201574424026641
91055026485020740
10220022120132001
1164118947938a10
1220815916a35169
13959ccc6266905
143c491ad974425
151a68430d83586
hexc81be4502da1

220022120132001 has 48 divisors (see below), whose sum is σ = 346917247522560. Its totient is φ = 133263784347360.

The previous prime is 220022120131993. The next prime is 220022120132029. The reversal of 220022120132001 is 100231021220022.

220022120132001 is a `hidden beast` number, since 2 + 200 + 22 + 120 + 1 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 220022120132001 - 23 = 220022120131993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220022120132201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1802999950 + ... + 1803121976.

It is an arithmetic number, because the mean of its divisors is an integer number (7227442656720).

Almost surely, 2220022120132001 is an apocalyptic number.

It is an amenable number.

220022120132001 is a deficient number, since it is larger than the sum of its proper divisors (126895127390559).

220022120132001 is a wasteful number, since it uses less digits than its factorization.

220022120132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133226 (or 133223 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220022120132001 its reverse (100231021220022), we get a palindrome (320253141352023).

The spelling of 220022120132001 in words is "two hundred twenty trillion, twenty-two billion, one hundred twenty million, one hundred thirty-two thousand, one".

Divisors: 1 3 9 11 33 99 1979 5937 9203 17811 21769 27609 65307 82827 101233 122027 195921 303699 366081 911097 1098243 1342297 4026891 12080673 18212737 54638211 163914633 200340107 241491433 601020321 724474299 1123014481 1803060963 2173422897 2656405763 3369043443 7969217289 10107130329 12353159291 23907651867 37059477873 111178433619 2222445657899 6667336973697 20002010921091 24446902236889 73340706710667 220022120132001