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102000220110 = 23355945714011
BaseRepresentation
bin101111011111110101…
…1111101011111001110
3100202021120102001102000
41132333223331133032
53132344024020420
6114505214413130
710240442365005
oct1367753753716
9322246361360
10102000220110
113a292513078
12179278011a6
139807033039
144d18975c3c
1529beb42690
hex17bfafd7ce

102000220110 has 128 divisors (see below), whose sum is σ = 277235827200. Its totient is φ = 26678626560.

The previous prime is 102000220079. The next prime is 102000220139. The reversal of 102000220110 is 11022000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102000220092 and 102000220101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7273005 + ... + 7287015.

It is an arithmetic number, because the mean of its divisors is an integer number (2165904900).

Almost surely, 2102000220110 is an apocalyptic number.

102000220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138617913600).

102000220110 is an abundant number, since it is smaller than the sum of its proper divisors (175235607090).

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

102000220110 is a wasteful number, since it uses less digits than its factorization.

102000220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14543 (or 14537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102000220110 its reverse (11022000201), we get a palindrome (113022220311).

The spelling of 102000220110 in words is "one hundred two billion, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 457 531 590 885 914 1062 1371 1593 1770 2285 2655 2742 3186 4113 4570 5310 6855 7965 8226 12339 13710 14011 15930 20565 24678 26963 28022 41130 42033 53926 61695 70055 80889 84066 123390 126099 134815 140110 161778 210165 242667 252198 269630 378297 404445 420330 485334 630495 728001 756594 808890 826649 1213335 1260990 1456002 1653298 1891485 2426670 2479947 3640005 3782970 4133245 4959894 6403027 7280010 7439841 8266490 12399735 12806054 14879682 19209081 22319523 24799470 32015135 37199205 38418162 44639046 57627243 64030270 74398410 96045405 111597615 115254486 172881729 192090810 223195230 288136215 345763458 377778593 576272430 755557186 864408645 1133335779 1728817290 1888892965 2266671558 3400007337 3777785930 5666678895 6800014674 10200022011 11333357790 17000036685 20400044022 34000073370 51000110055 102000220110