Search a number
-
+
11220102011200 = 265219369082303
BaseRepresentation
bin1010001101000110001000…
…1100011101100101000000
31110201122001012102100010011
42203101202030131211000
52432312232103324300
635510235501314304
72235424405334065
oct243214214354500
943648035370104
1011220102011200
113636467094705
121312645565994
136350882b6bc4
142ab0ad2d4c6c
15146cd97e9eba
hexa346231d940

11220102011200 has 84 divisors (see below), whose sum is σ = 29061540616960. Its totient is φ = 4251828119040.

The previous prime is 11220102011189. The next prime is 11220102011201. The reversal of 11220102011200 is 211020102211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220102011201) 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 11 ways as a sum of consecutive naturals, for example, 184510752 + ... + 184571551.

Almost surely, 211220102011200 is an apocalyptic number.

11220102011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220102011200 is an abundant number, since it is smaller than the sum of its proper divisors (17841438605760).

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

11220102011200 is a wasteful number, since it uses less digits than its factorization.

11220102011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369082344 (or 369082329 counting only the distinct ones).

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

Adding to 11220102011200 its reverse (211020102211), we get a palindrome (11431122113411).

It can be divided in two parts, 11220102011 and 200, that added together give a palindrome (11220102211).

The spelling of 11220102011200 in words is "eleven trillion, two hundred twenty billion, one hundred two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 6080 7600 15200 30400 369082303 738164606 1476329212 1845411515 2952658424 3690823030 5905316848 7012563757 7381646060 9227057575 11810633696 14025127514 14763292120 18454115150 23621267392 28050255028 29526584240 35062818785 36908230300 56100510056 59053168480 70125637570 73816460600 112201020112 118106336960 140251275140 147632921200 175314093925 224402040224 280502550280 295265842400 350628187850 448804080448 561005100560 590531684800 701256375700 1122010201120 1402512751400 2244020402240 2805025502800 5610051005600 11220102011200