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220001210022201 = 347791673173491069
BaseRepresentation
bin110010000001011100000101…
…111110010011100100111001
31001211221220120120222001122020
4302001130011332103210321
5212313444434231202301
62055523054410345053
764224364034346066
oct6201340576234471
91054856516861566
10220001210022201
116410aa97701a33
122081186012b189
13959b043165a8a
143c4818885dc6d
151a67b0a290436
hexc81705f93939

220001210022201 has 128 divisors (see below), whose sum is σ = 307311943680000. Its totient is φ = 139903344681984.

The previous prime is 220001210022109. The next prime is 220001210022211. The reversal of 220001210022201 is 102220012100022.

It is not a de Polignac number, because 220001210022201 - 27 = 220001210022073 is a prime.

It is a super-2 number, since 2×2200012100222012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220001210022211) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 205800944295 + ... + 205800945363.

It is an arithmetic number, because the mean of its divisors is an integer number (2400874560000).

Almost surely, 2220001210022201 is an apocalyptic number.

It is an amenable number.

220001210022201 is a deficient number, since it is larger than the sum of its proper divisors (87310733657799).

220001210022201 is a wasteful number, since it uses less digits than its factorization.

220001210022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220001210022201 its reverse (102220012100022), we get a palindrome (322221222122223).

The spelling of 220001210022201 in words is "two hundred twenty trillion, one billion, two hundred ten million, twenty-two thousand, two hundred one".

Divisors: 1 3 47 79 141 167 237 317 349 501 951 1047 1069 3207 3713 7849 11139 13193 14899 16403 23547 25043 27571 39579 44697 49209 50243 52939 58283 75129 82713 84451 110633 150729 158817 174849 178523 253353 331899 338873 373081 535569 620071 1016619 1119243 1177021 1295837 1860213 2488133 2739301 3531063 3887511 3969197 4182181 4604357 5199751 7464399 8217903 8390581 8740007 11907591 12546543 13813071 14103317 15599253 15927031 17534807 18475711 25171743 26220021 26770967 29473399 42309951 47781093 52604421 55427133 56591791 62304527 80312901 88420197 118266677 169775373 186913581 196562507 216404779 354800031 410780329 589687521 649214337 662855899 868358417 1232340987 1258235449 1385249753 1459581169 1988567697 2605075251 2659814177 2928312769 3774706347 4155749259 4378743507 4470751489 4922057633 5558533819 7979442531 8784938307 9343067483 13412254467 14766172899 16675601457 19750535059 28029202449 59251605177 68600314943 205800944829 210125319983 231336708751 439124171701 630375959949 694010126253 928275147773 1317372515103 1560292269661 2784825443319 4680876808983 73333736674067 220001210022201