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11220002220 = 2235776934739
BaseRepresentation
bin10100111001100001…
…11010010110101100
31001221221102011112210
422130300322112230
5140434310032340
65053203330420
7545020305510
oct123460722654
931857364483
1011220002220
114838442809
122211680a10
13109a69608b
147861bc140
1545a04a180
hex29cc3a5ac

11220002220 has 96 divisors (see below), whose sum is σ = 35951731200. Its totient is φ = 2561163264.

The previous prime is 11220002207. The next prime is 11220002221. The reversal of 11220002220 is 2220002211.

11220002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11220002196 and 11220002205.

It is not an unprimeable number, because it can be changed into a prime (11220002221) 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 31 ways as a sum of consecutive naturals, for example, 305611 + ... + 340349.

It is an arithmetic number, because the mean of its divisors is an integer number (374497200).

Almost surely, 211220002220 is an apocalyptic number.

11220002220 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 11220002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975865600).

11220002220 is an abundant number, since it is smaller than the sum of its proper divisors (24731728980).

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

11220002220 is a wasteful number, since it uses less digits than its factorization.

11220002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35527 (or 35525 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11220002220 its reverse (2220002211), we get a palindrome (13440004431).

Subtracting from 11220002220 its reverse (2220002211), we obtain a palindrome (9000000009).

The spelling of 11220002220 in words is "eleven billion, two hundred twenty million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 769 1538 2307 3076 3845 4614 5383 7690 9228 10766 11535 15380 16149 21532 23070 26915 32298 34739 46140 53830 64596 69478 80745 104217 107660 138956 161490 173695 208434 243173 322980 347390 416868 486346 521085 694780 729519 972692 1042170 1215865 1459038 2084340 2431730 2918076 3647595 4863460 7295190 14590380 26714291 53428582 80142873 106857164 133571455 160285746 187000037 267142910 320571492 374000074 400714365 534285820 561000111 748000148 801428730 935000185 1122000222 1602857460 1870000370 2244000444 2805000555 3740000740 5610001110 11220002220