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102122110220 = 225133197130621
BaseRepresentation
bin101111100011011110…
…0111011110100001100
3100202121001202201012112
41133012330323310030
53133121230011340
6114525251123152
710243452420524
oct1370674736414
9322531681175
10102122110220
113a3452a59a9
12179605a34b8
13982636c370
144d2ac24684
1529ca6bd065
hex17c6f3bd0c

102122110220 has 96 divisors (see below), whose sum is σ = 240862788096. Its totient is φ = 36113817600.

The previous prime is 102122110187. The next prime is 102122110229. The reversal of 102122110220 is 22011221201.

102122110220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102122110195 and 102122110204.

It is not an unprimeable number, because it can be changed into a prime (102122110229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716510 + ... + 847130.

It is an arithmetic number, because the mean of its divisors is an integer number (2508987376).

Almost surely, 2102122110220 is an apocalyptic number.

102122110220 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 102122110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120431394048).

102122110220 is an abundant number, since it is smaller than the sum of its proper divisors (138740677876).

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

102122110220 is a wasteful number, since it uses less digits than its factorization.

102122110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130771 (or 130769 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122110220 its reverse (22011221201), we get a palindrome (124133331421).

The spelling of 102122110220 in words is "one hundred two billion, one hundred twenty-two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 97 124 130 155 194 260 310 388 403 485 620 806 970 1261 1612 1940 2015 2522 3007 4030 5044 6014 6305 8060 12028 12610 15035 25220 30070 39091 60140 78182 130621 156364 195455 261242 390910 522484 653105 781820 1306210 1698073 2612420 3396146 4049251 6792292 8098502 8490365 12670237 16197004 16980730 20246255 25340474 33961460 40492510 50680948 52640263 63351185 80985020 105280526 126702370 164713081 210561052 253404740 263201315 329426162 392777347 526402630 658852324 785554694 823565405 1052805260 1571109388 1647130810 1963886735 3294261620 3927773470 5106105511 7855546940 10212211022 20424422044 25530527555 51061055110 102122110220