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220102010110220 = 225733126113181891
BaseRepresentation
bin110010000010111001111110…
…001000001000000100001100
31001212022112202112010002022112
4302002321332020020010030
5212322122404042011340
62100041244554203152
764234562665065530
oct6202717610100414
91055275675102275
10220102010110220
1164149813728aa7
12208292b1a234b8
1395a76b8659484
143c4cdcbc6dbc0
151a6a55986d065
hexc82e7e20810c

220102010110220 has 96 divisors (see below), whose sum is σ = 529863933451776. Its totient is φ = 75232265011200.

The previous prime is 220102010110183. The next prime is 220102010110273. The reversal of 220102010110220 is 22011010201022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 220102010110195 and 220102010110204.

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, 1209985475 + ... + 1210167365.

It is an arithmetic number, because the mean of its divisors is an integer number (5519415973456).

Almost surely, 2220102010110220 is an apocalyptic number.

220102010110220 is a gapful number since it is divisible by the number (20) 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 220102010110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264931966725888).

220102010110220 is an abundant number, since it is smaller than the sum of its proper divisors (309761923341556).

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

220102010110220 is a wasteful number, since it uses less digits than its factorization.

220102010110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208351 (or 208349 counting only the distinct ones).

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

Adding to 220102010110220 its reverse (22011010201022), we get a palindrome (242113020311242).

The spelling of 220102010110220 in words is "two hundred twenty trillion, one hundred two billion, ten million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 331 662 1324 1655 2317 3310 4634 6620 9268 11585 23170 26113 46340 52226 104452 130565 181891 182791 261130 363782 365582 522260 727564 731164 909455 913955 1273237 1818910 1827910 2546474 3637820 3655820 5092948 6366185 8643403 12732370 17286806 25464740 34573612 43217015 60205921 60503821 86434030 120411842 121007642 172868060 240823684 242015284 301029605 302519105 421441447 602059210 605038210 842882894 1204118420 1210076420 1685765788 2107207235 4214414470 4749719683 8428828940 9499439366 18998878732 23748598415 33248037781 47497196830 66496075562 94994393660 132992151124 166240188905 332480377810 664960755620 1572157215073 3144314430146 6288628860292 7860786075365 11005100505511 15721572150730 22010201011022 31443144301460 44020402022044 55025502527555 110051005055110 220102010110220