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220211201002221 = 321113615475127949
BaseRepresentation
bin110010000100011111101010…
…011010010100101011101101
31001212200222121020001010011200
4302010133222122110223231
5212330420014424032341
62100203343522040113
764245506563256532
oct6204375232245355
91055628536033150
10220211201002221
1164191056087310
12208464a57a9039
1395b4a9a334940
143c543c97d6d89
151a6d2ea8dedb6
hexc847ea694aed

220211201002221 has 96 divisors (see below), whose sum is σ = 380512268572800. Its totient is φ = 120953935065600.

The previous prime is 220211201002157. The next prime is 220211201002231. The reversal of 220211201002221 is 122200102112022.

It is a happy number.

220211201002221 is a `hidden beast` number, since 220 + 2 + 1 + 120 + 100 + 2 + 221 = 666.

It is not a de Polignac number, because 220211201002221 - 26 = 220211201002157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220211201002194 and 220211201002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220211201002231) 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, 40379355 + ... + 45507303.

It is an arithmetic number, because the mean of its divisors is an integer number (3963669464300).

Almost surely, 2220211201002221 is an apocalyptic number.

It is an amenable number.

220211201002221 is a deficient number, since it is larger than the sum of its proper divisors (160301067570579).

220211201002221 is a wasteful number, since it uses less digits than its factorization.

220211201002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128587 (or 5128584 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220211201002221 its reverse (122200102112022), we get a palindrome (342411303114243).

The spelling of 220211201002221 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred one million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 13 33 39 61 99 117 143 183 429 547 549 671 793 1287 1641 2013 2379 4923 6017 6039 7111 7137 8723 18051 21333 26169 33367 54153 63999 78221 78507 100101 234663 300303 367037 433771 703989 1101111 1301313 3303333 3903939 4771481 5127949 14314443 15383847 42943329 46151541 56407439 66663337 169222317 199990011 312804889 507666951 599970033 733296707 938414667 2199890121 2804988103 2815244001 3440853779 4066463557 6599670363 8414964309 10322561337 12199390671 25244892927 30854869133 30967684011 36464845339 36598172013 44731099127 92564607399 109394536017 134193297381 171104274283 277693822197 328183608051 401113298729 402579892143 513312822849 1203339896187 1539938468547 1882147017113 2224355565679 3610019688561 5646441051339 6673066697037 16939323154017 20019200091111 24467911222469 73403733667407 220211201002221