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112202220220211 = 112915129371911057
BaseRepresentation
bin11001100000110000011101…
…011110101010111100110011
3112201021102112122102012010202
4121200300131132222330303
5104201310121334021321
61034344553253545415
732430225420525062
oct3140603536527463
9481242478365122
10112202220220211
1132829770232510
121070166064526b
134a7b815b15a64
141d9c88b6d41d9
15ce8985a2770b
hex660c1d7aaf33

112202220220211 has 64 divisors (see below), whose sum is σ = 128086247116800. Its totient is φ = 97354182912000.

The previous prime is 112202220220199. The next prime is 112202220220271. The reversal of 112202220220211 is 112022022202211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112202220220211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112202220220271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10147613195 + ... + 10147624251.

It is an arithmetic number, because the mean of its divisors is an integer number (2001347611200).

Almost surely, 2112202220220211 is an apocalyptic number.

112202220220211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112202220220211 is a deficient number, since it is larger than the sum of its proper divisors (15884026896589).

112202220220211 is a wasteful number, since it uses less digits than its factorization.

112202220220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12260.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 112202220220211 its reverse (112022022202211), we get a palindrome (224224242422422).

The spelling of 112202220220211 in words is "one hundred twelve trillion, two hundred two billion, two hundred twenty million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 11 29 151 293 319 719 1661 3223 4379 7909 8497 11057 20851 44243 48169 93467 108569 121627 210667 229361 320653 486673 1194259 1283047 1669607 2317337 3148501 3239701 3527183 6109343 7949983 14113517 18365677 31810717 34633511 35636711 48418603 67202773 87449813 93951329 230549507 349917887 489194851 532604633 922510793 1033464619 1200447433 2329345019 2536044577 5381143361 10147618723 13204921763 14186650679 25622795209 34812975557 67551005551 156053157469 351731097869 382942731127 743061061061 3869042076559 10200201838201 112202220220211