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102220102220 = 225191012699901
BaseRepresentation
bin101111100110011001…
…0101111101001001100
3100202211220011012221212
41133030302233221030
53133321321232340
6114543111313552
710246052350505
oct1371462575114
9322756135855
10102220102220
113a395645825
121798937b8b8
13984075bbb2
144d39c51bac
1529d40c7a65
hex17cccafa4c

102220102220 has 96 divisors (see below), whose sum is σ = 229068907200. Its totient is φ = 38206080000.

The previous prime is 102220102211. The next prime is 102220102253. The reversal of 102220102220 is 22201022201.

It is a junction number, because it is equal to n+sod(n) for n = 102220102195 and 102220102204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10319270 + ... + 10329170.

It is an arithmetic number, because the mean of its divisors is an integer number (2386134450).

Almost surely, 2102220102220 is an apocalyptic number.

102220102220 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 102220102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114534453600).

102220102220 is an abundant number, since it is smaller than the sum of its proper divisors (126848804980).

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

102220102220 is a wasteful number, since it uses less digits than its factorization.

102220102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102220102220 its reverse (22201022201), we get a palindrome (124421124421).

The spelling of 102220102220 in words is "one hundred two billion, two hundred twenty million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 269 380 404 505 538 1010 1076 1345 1919 2020 2690 3838 5111 5380 7676 9595 9901 10222 19190 19802 20444 25555 27169 38380 39604 49505 51110 54338 99010 102220 108676 135845 188119 198020 271690 376238 516211 543380 752476 940595 1000001 1032422 1881190 2000002 2064844 2581055 2663369 3762380 4000004 5000005 5162110 5326738 10000010 10324220 10653476 13316845 19000019 20000020 26633690 38000038 50604011 53267380 76000076 95000095 101208022 190000190 202416044 253020055 269000269 380000380 506040110 538000538 1012080220 1076001076 1345001345 2690002690 5111005111 5380005380 10222010222 20444020444 25555025555 51110051110 102220102220