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2221011102200 = 2352114912056111
BaseRepresentation
bin100000010100011110100…
…100111110100111111000
321212022211002020010011212
4200110132210332213320
5242342112320232300
64420152435542252
7316314503606552
oct40243644764770
97768732203155
102221011102200
11786a1a958060
122ba54415a988
131315958847a7
14796d72544d2
153cb90d43935
hex2051e93e9f8

2221011102200 has 96 divisors (see below), whose sum is σ = 5644767640320. Its totient is φ = 805995120000.

The previous prime is 2221011102169. The next prime is 2221011102217. The reversal of 2221011102200 is 22011101222.

2221011102200 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, 52145 + ... + 2108255.

It is an arithmetic number, because the mean of its divisors is an integer number (58799662920).

Almost surely, 22221011102200 is an apocalyptic number.

2221011102200 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 2221011102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822383820160).

2221011102200 is an abundant number, since it is smaller than the sum of its proper divisors (3423756538120).

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

2221011102200 is a wasteful number, since it uses less digits than its factorization.

2221011102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056629 (or 2056620 counting only the distinct ones).

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

Adding to 2221011102200 its reverse (22011101222), we get a palindrome (2243022203422).

The spelling of 2221011102200 in words is "two trillion, two hundred twenty-one billion, eleven million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 491 550 982 1100 1964 2200 2455 3928 4910 5401 9820 10802 12275 19640 21604 24550 27005 43208 49100 54010 98200 108020 135025 216040 270050 540100 1080200 2056111 4112222 8224444 10280555 16448888 20561110 22617221 41122220 45234442 51402775 82244440 90468884 102805550 113086105 180937768 205611100 226172210 411222200 452344420 565430525 904688840 1009550501 1130861050 2019101002 2261722100 4038202004 4523444200 5047752505 8076404008 10095505010 11105055511 20191010020 22210111022 25238762525 40382020040 44420222044 50477525050 55525277555 88840444088 100955050100 111050555110 201910100200 222101110220 277626387775 444202220440 555252775550 1110505551100 2221011102200