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11200222020 = 22351320996841
BaseRepresentation
bin10100110111001010…
…11101001101000100
31001220120012020012210
422123211131031010
5140414224101040
65051215343420
7544360213341
oct123345351504
931816166183
1011200222020
114828262639
122206b21b70
13109655ba10
1478370d7c8
1545843e480
hex29b95d344

11200222020 has 96 divisors (see below), whose sum is σ = 33794006400. Its totient is φ = 2755261440.

The previous prime is 11200222001. The next prime is 11200222057. The reversal of 11200222020 is 2022200211.

11200222020 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 = 11200221987 and 11200222005.

It is an unprimeable number.

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, 1633800 + ... + 1640640.

It is an arithmetic number, because the mean of its divisors is an integer number (352020900).

Almost surely, 211200222020 is an apocalyptic number.

11200222020 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 11200222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16897003200).

11200222020 is an abundant number, since it is smaller than the sum of its proper divisors (22593784380).

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

11200222020 is a wasteful number, since it uses less digits than its factorization.

11200222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8965 (or 8963 counting only the distinct ones).

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

Adding to 11200222020 its reverse (2022200211), we get a palindrome (13222422231).

The spelling of 11200222020 in words is "eleven billion, two hundred million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2099 4198 6297 6841 8396 10495 12594 13682 20523 20990 25188 27287 27364 31485 34205 41046 41980 54574 62970 68410 81861 82092 88933 102615 109148 125940 136435 136820 163722 177866 205230 266799 272870 327444 355732 409305 410460 444665 533598 545740 818610 889330 1067196 1333995 1637220 1778660 2667990 5335980 14359259 28718518 43077777 57437036 71796295 86155554 143592590 172311108 186670367 215388885 287185180 373340734 430777770 560011101 746681468 861555540 933351835 1120022202 1866703670 2240044404 2800055505 3733407340 5600111010 11200222020