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11201111220 = 22351340935111
BaseRepresentation
bin10100110111010001…
…10110010010110100
31001220121212101222010
422123220312102310
5140414441024340
65051250404220
7544400605635
oct123350662264
931817771863
1011201111220
11482880a712
122207290670
1310967b0680
147838a188c
15458567b80
hex29ba364b4

11201111220 has 96 divisors (see below), whose sum is σ = 33859203840. Its totient is φ = 2750376960.

The previous prime is 11201111203. The next prime is 11201111227. The reversal of 11201111220 is 2211110211.

11201111220 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 = 11201111196 and 11201111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201111227) 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, 301465 + ... + 336575.

It is an arithmetic number, because the mean of its divisors is an integer number (352700040).

Almost surely, 211201111220 is an apocalyptic number.

11201111220 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 11201111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16929601920).

11201111220 is an abundant number, since it is smaller than the sum of its proper divisors (22658092620).

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

11201111220 is a wasteful number, since it uses less digits than its factorization.

11201111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35545 (or 35543 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201111220 its reverse (2211110211), we get a palindrome (13412221431).

The spelling of 11201111220 in words is "eleven billion, two hundred one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 409 780 818 1227 1636 2045 2454 4090 4908 5317 6135 8180 10634 12270 15951 21268 24540 26585 31902 35111 53170 63804 70222 79755 105333 106340 140444 159510 175555 210666 319020 351110 421332 456443 526665 702220 912886 1053330 1369329 1825772 2106660 2282215 2738658 4564430 5477316 6846645 9128860 13693290 14360399 27386580 28720798 43081197 57441596 71801995 86162394 143603990 172324788 186685187 215405985 287207980 373370374 430811970 560055561 746740748 861623940 933425935 1120111122 1866851870 2240222244 2800277805 3733703740 5600555610 11201111220