Search a number
-
+
11020212200 = 2352473833061
BaseRepresentation
bin10100100001101101…
…10001011111101000
31001110000110210011102
422100312301133220
5140032133242300
65021305220532
7540043154354
oct122066613750
931400423142
1011020212200
114745693598
122176791748
13106818352a
14767852464
154477330d5
hex290db17e8

11020212200 has 96 divisors (see below), whose sum is σ = 26244034560. Its totient is φ = 4301625600.

The previous prime is 11020212191. The next prime is 11020212221. The reversal of 11020212200 is 221202011.

It is a happy number.

11020212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 3598670 + ... + 3601730.

It is an arithmetic number, because the mean of its divisors is an integer number (273375360).

Almost surely, 211020212200 is an apocalyptic number.

11020212200 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 11020212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122017280).

11020212200 is an abundant number, since it is smaller than the sum of its proper divisors (15223822360).

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

11020212200 is a wasteful number, since it uses less digits than its factorization.

11020212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11020212200 its reverse (221202011), we get a palindrome (11241414211).

The spelling of 11020212200 in words is "eleven billion, twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 383 470 766 940 1175 1532 1880 1915 2350 3061 3064 3830 4700 6122 7660 9400 9575 12244 15305 15320 18001 19150 24488 30610 36002 38300 61220 72004 76525 76600 90005 122440 143867 144008 153050 180010 287734 306100 360020 450025 575468 612200 719335 720040 900050 1150936 1172363 1438670 1800100 2344726 2877340 3596675 3600200 4689452 5754680 5861815 7193350 9378904 11723630 14386700 23447260 28773400 29309075 46894520 55101061 58618150 110202122 117236300 220404244 234472600 275505305 440808488 551010610 1102021220 1377526525 2204042440 2755053050 5510106100 11020212200