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220311120220 = 2251729101221227
BaseRepresentation
bin1100110100101110010…
…0001110100101011100
3210001122212020111110021
43031023210032211130
512102144121321340
6245113131521524
721626341423642
oct3151344164534
9701585214407
10220311120220
118548497a474
12368458b92a4
1317a102b92c9
14a93d833192
155ae6698e4a
hex334b90e95c

220311120220 has 96 divisors (see below), whose sum is σ = 511780006080. Its totient is φ = 79287398400.

The previous prime is 220311120187. The next prime is 220311120229. The reversal of 220311120220 is 22021113022.

It is a happy number.

220311120220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220311120194 and 220311120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220311120229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885247 + ... + 1106473.

It is an arithmetic number, because the mean of its divisors is an integer number (5331041730).

Almost surely, 2220311120220 is an apocalyptic number.

220311120220 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 220311120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255890003040).

220311120220 is an abundant number, since it is smaller than the sum of its proper divisors (291468885860).

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

220311120220 is a wasteful number, since it uses less digits than its factorization.

220311120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221383 (or 221381 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 220311120220 its reverse (22021113022), we get a palindrome (242332233242).

The spelling of 220311120220 in words is "two hundred twenty billion, three hundred eleven million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 101 116 145 170 202 290 340 404 493 505 580 986 1010 1717 1972 2020 2465 2929 3434 4930 5858 6868 8585 9860 11716 14645 17170 29290 34340 49793 58580 99586 199172 221227 248965 442454 497930 884908 995860 1106135 2212270 3760859 4424540 6415583 7521718 12831166 15043436 18804295 22343927 25662332 32077915 37608590 44687854 64155830 75217180 89375708 109064911 111719635 128311660 218129822 223439270 379846759 436259644 446878540 545324555 647973883 759693518 1090649110 1295947766 1519387036 1899233795 2181298220 2591895532 3239869415 3798467590 6479738830 7596935180 11015556011 12959477660 22031112022 44062224044 55077780055 110155560110 220311120220