Search a number
-
+
11202122201220 = 2233521439680201
BaseRepresentation
bin1010001100000011001010…
…0000111011100010000100
31110122220122011020100121000
42203000302200323202010
52432013421240414340
635454103415453300
72234220013432026
oct243006240734204
943586564210530
1011202122201220
11362987aa42315
12130b068087230
136334813053a2
142aa285442016
151465d60cdd30
hexa303283b884

11202122201220 has 96 divisors (see below), whose sum is σ = 34867313187840. Its totient is φ = 2985838329600.

The previous prime is 11202122201213. The next prime is 11202122201251. The reversal of 11202122201220 is 2210222120211.

It is a happy number.

11202122201220 is a `hidden beast` number, since 1 + 12 + 0 + 212 + 220 + 1 + 220 = 666.

It is a super-2 number, since 2×112021222012202 (a number of 27 digits) contains 22 as substring.

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 = 11202122201193 and 11202122201202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3682881 + ... + 5997320.

It is an arithmetic number, because the mean of its divisors is an integer number (363201179040).

Almost surely, 211202122201220 is an apocalyptic number.

11202122201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202122201220 is an abundant number, since it is smaller than the sum of its proper divisors (23665190986620).

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

11202122201220 is a wasteful number, since it uses less digits than its factorization.

11202122201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9682362 (or 9682354 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11202122201220 its reverse (2210222120211), we get a palindrome (13412344321431).

The spelling of 11202122201220 in words is "eleven trillion, two hundred two billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2143 4286 6429 8572 10715 12858 19287 21430 25716 32145 38574 42860 57861 64290 77148 96435 115722 128580 192870 231444 289305 385740 578610 1157220 9680201 19360402 29040603 38720804 48401005 58081206 87121809 96802010 116162412 145203015 174243618 193604020 261365427 290406030 348487236 435609045 522730854 580812060 871218090 1045461708 1306827135 1742436180 2613654270 5227308540 20744670743 41489341486 62234012229 82978682972 103723353715 124468024458 186702036687 207446707430 248936048916 311170061145 373404073374 414893414860 560106110061 622340122290 746808146748 933510183435 1120212220122 1244680244580 1867020366870 2240424440244 2800530550305 3734040733740 5601061100610 11202122201220