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110220212221119 = 327111379154866529
BaseRepresentation
bin11001000011111010100100…
…100110001011010010111111
3112110020221122002200200111200
4121003322210212023102333
5103421321443312033434
61030230244431550543
732134101415515120
oct3103724446132277
9473227562620450
10110220212221119
1132135147400270
12104414ba08b453
13496694bc41090
141d3098858c047
15cb2132373199
hex643ea498b4bf

110220212221119 has 96 divisors (see below), whose sum is σ = 216466240972800. Its totient is φ = 52183825274880.

The previous prime is 110220212221099. The next prime is 110220212221159. The reversal of 110220212221119 is 911122212022011.

110220212221119 is a `hidden beast` number, since 1 + 1 + 0 + 220 + 212 + 2 + 211 + 19 = 666.

It is not a de Polignac number, because 110220212221119 - 216 = 110220212155583 is a prime.

It is a super-2 number, since 2×1102202122211192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110220212221092 and 110220212221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110220212221159) 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, 76721554 + ... + 78144975.

It is an arithmetic number, because the mean of its divisors is an integer number (2254856676800).

Almost surely, 2110220212221119 is an apocalyptic number.

110220212221119 is a deficient number, since it is larger than the sum of its proper divisors (106246028751681).

110220212221119 is a wasteful number, since it uses less digits than its factorization.

110220212221119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154866645 (or 154866642 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 110220212221119 in words is "one hundred ten trillion, two hundred twenty billion, two hundred twelve million, two hundred twenty-one thousand, one hundred nineteen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 79 91 99 117 143 231 237 273 429 553 693 711 819 869 1001 1027 1287 1659 2607 3003 3081 4977 6083 7189 7821 9009 9243 11297 18249 21567 33891 54747 64701 79079 101673 237237 711711 154866529 464599587 1084065703 1393798761 1703531819 2013264877 3252197109 5110595457 6039794631 9756591327 11924722733 12234455791 14092854139 15331786371 18119383893 22145913647 35774168199 36703367373 42278562417 66437740941 85641190537 107322504597 110110102119 126835687251 134579013701 155021395529 159047925283 199313222823 256923571611 403737041103 465064186587 477143775849 770770714833 942053095907 1113335476981 1211211123309 1395192559761 1431431327547 1749527178113 2826159287721 3340006430943 5248581534339 8478477863163 10020019292829 12246690246791 15745744603017 36740070740373 110220212221119