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11211120220 = 2251761353791
BaseRepresentation
bin10100111000011110…
…00001111001011100
31001221022200220201211
422130033001321130
5140430021321340
65052245114204
7544551643456
oct123417017134
931838626654
1011211120220
114833426613
12220a6b8964
1310988a6361
14784d492d6
154593935ea
hex29c3c1e5c

11211120220 has 48 divisors (see below), whose sum is σ = 24969385728. Its totient is φ = 4213693440.

The previous prime is 11211120131. The next prime is 11211120229. The reversal of 11211120220 is 2202111211.

11211120220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11211120220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211120229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181525 + ... + 235315.

It is an arithmetic number, because the mean of its divisors is an integer number (520195536).

Almost surely, 211211120220 is an apocalyptic number.

11211120220 is a gapful number since it is divisible by the number (10) 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 11211120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484692864).

11211120220 is an abundant number, since it is smaller than the sum of its proper divisors (13758265508).

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

11211120220 is a wasteful number, since it uses less digits than its factorization.

11211120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54430 (or 54428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11211120220 its reverse (2202111211), we get a palindrome (13413231431).

Subtracting from 11211120220 its reverse (2202111211), we obtain a palindrome (9009009009).

The spelling of 11211120220 in words is "eleven billion, two hundred eleven million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 613 1226 2452 3065 6130 10421 12260 20842 41684 52105 53791 104210 107582 208420 215164 268955 537910 914447 1075820 1828894 3657788 4572235 9144470 18288940 32973883 65947766 131895532 164869415 329738830 560556011 659477660 1121112022 2242224044 2802780055 5605560110 11211120220