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110012210220 = 223511282118457
BaseRepresentation
bin110011001110100111…
…1010001110000101100
3101111221221101022122110
41212131033101300230
53300301111211340
6122312223244020
710643130233523
oct1463517216054
9344857338573
10110012210220
114272402a900
12193a2a49610
13a4b2bb37a3
145478a814ba
152cdd20a680
hex199d3d1c2c

110012210220 has 144 divisors (see below), whose sum is σ = 339013803744. Its totient is φ = 26635699200.

The previous prime is 110012210201. The next prime is 110012210257. The reversal of 110012210220 is 22012210011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110012210196 and 110012210205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5951232 + ... + 5969688.

It is an arithmetic number, because the mean of its divisors is an integer number (2354262526).

Almost surely, 2110012210220 is an apocalyptic number.

110012210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110012210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169506901872).

110012210220 is an abundant number, since it is smaller than the sum of its proper divisors (229001593524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110012210220 is a wasteful number, since it uses less digits than its factorization.

110012210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19312 (or 19299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110012210220 its reverse (22012210011), we get a palindrome (132024420231).

The spelling of 110012210220 in words is "one hundred ten billion, twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 821 1210 1452 1642 1815 2420 2463 3284 3630 4105 4926 7260 8210 9031 9852 12315 16420 18062 18457 24630 27093 36124 36914 45155 49260 54186 55371 73828 90310 92285 99341 108372 110742 135465 180620 184570 198682 203027 221484 270930 276855 298023 369140 397364 406054 496705 541860 553710 596046 609081 812108 993410 1015135 1107420 1192092 1218162 1490115 1986820 2030270 2233297 2436324 2980230 3045405 4060540 4466594 5960460 6090810 6699891 8933188 11166485 12181620 13399782 15153197 22332970 26799564 30306394 33499455 44665940 45459591 60612788 66998910 75765985 90919182 133997820 151531970 166685167 181838364 227297955 303063940 333370334 454595910 500055501 666740668 833425835 909191820 1000111002 1666851670 1833536837 2000222004 2500277505 3333703340 3667073674 5000555010 5500610511 7334147348 9167684185 10001110020 11001221022 18335368370 22002442044 27503052555 36670736740 55006105110 110012210220