Search a number
-
+
11212120310220 = 22325466191336141
BaseRepresentation
bin1010001100101000011001…
…1100101100000111001100
31110200212102221102220202100
42203022012130230013030
52432144410244411340
635502435453555100
72235022536106614
oct243120634540714
943625387386670
1011212120310220
113633040685615
121310b984a5a90
136343b57acc0b
142aa953231a44
151469bdc16830
hexa328672c1cc

11212120310220 has 72 divisors (see below), whose sum is σ = 34010853261840. Its totient is φ = 2989832376960.

The previous prime is 11212120310203. The next prime is 11212120310221. The reversal of 11212120310220 is 2201302121211.

11212120310220 is a `hidden beast` number, since 1 + 1 + 2 + 12 + 120 + 310 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11212120310193 and 11212120310202.

It is not an unprimeable number, because it can be changed into a prime (11212120310221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7723350 + ... + 9059490.

It is an arithmetic number, because the mean of its divisors is an integer number (472372961970).

Almost surely, 211212120310220 is an apocalyptic number.

11212120310220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212120310220 is an abundant number, since it is smaller than the sum of its proper divisors (22798732951620).

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

11212120310220 is a wasteful number, since it uses less digits than its factorization.

11212120310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382775 (or 1382770 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11212120310220 its reverse (2201302121211), we get a palindrome (13413422431431).

The spelling of 11212120310220 in words is "eleven trillion, two hundred twelve billion, one hundred twenty million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 46619 93238 139857 186476 233095 279714 419571 466190 559428 699285 839142 932380 1336141 1398570 1678284 2097855 2672282 2797140 4008423 4195710 5344564 6680705 8016846 8391420 12025269 13361410 16033692 20042115 24050538 26722820 40084230 48101076 60126345 80168460 120252690 240505380 62289557279 124579114558 186868671837 249158229116 311447786395 373737343674 560606015511 622895572790 747474687348 934343359185 1121212031022 1245791145580 1868686718370 2242424062044 2803030077555 3737373436740 5606060155110 11212120310220