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220122100002200 = 235211331930146279
BaseRepresentation
bin110010000011001100101011…
…100100111110110110011000
31001212101110121121210100011212
4302003030223210332312120
5212322440030100032300
62100054410254242252
764236203561255264
oct6203145344766630
91055343547710155
10220122100002200
1164157292975210
1220831179ab6388
1395a956a848b16
143c4dd760750a4
151a6ad33443935
hexc8332b93ed98

220122100002200 has 96 divisors (see below), whose sum is σ = 558477924768000. Its totient is φ = 80020280323200.

The previous prime is 220122100002163. The next prime is 220122100002221. The reversal of 220122100002200 is 2200001221022.

220122100002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7771340 + ... + 22374939.

It is an arithmetic number, because the mean of its divisors is an integer number (5817478383000).

Almost surely, 2220122100002200 is an apocalyptic number.

220122100002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122100002200 is an abundant number, since it is smaller than the sum of its proper divisors (338355824765800).

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

220122100002200 is a wasteful number, since it uses less digits than its factorization.

220122100002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30149625 (or 30149616 counting only the distinct ones).

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

Adding to 220122100002200 its reverse (2200001221022), we get a palindrome (222322101223222).

The spelling of 220122100002200 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 3319 6638 13276 16595 26552 33190 36509 66380 73018 82975 132760 146036 165950 182545 292072 331900 365090 663800 730180 912725 1460360 1825450 3650900 7301800 30146279 60292558 120585116 150731395 241170232 301462790 331609069 602925580 663218138 753656975 1205851160 1326436276 1507313950 1658045345 2652872552 3014627900 3316090690 6029255800 6632181380 8290226725 13264362760 16580453450 33160906900 66321813800 100055500001 200111000002 400222000004 500277500005 800444000008 1000555000010 1100610500011 2001110000020 2201221000022 2501387500025 4002220000040 4402442000044 5002775000050 5503052500055 8804884000088 10005550000100 11006105000110 20011100000200 22012210000220 27515262500275 44024420000440 55030525000550 110061050001100 220122100002200