Search a number
-
+
11055121220 = 225111337104471
BaseRepresentation
bin10100100101110111…
…11100001101000100
31001112110011100100002
422102323330031010
5140120102334340
65024553340432
7540645660053
oct122273741504
931473140302
1011055121220
114763367220
122186407718
131072486a60
1476c33c39a
1544a82b715
hex292efc344

11055121220 has 96 divisors (see below), whose sum is σ = 28011868416. Its totient is φ = 3610483200.

The previous prime is 11055121213. The next prime is 11055121271. The reversal of 11055121220 is 2212155011.

11055121220 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 11055121192 and 11055121201.

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 31 ways as a sum of consecutive naturals, for example, 53585 + ... + 158055.

It is an arithmetic number, because the mean of its divisors is an integer number (291790296).

Almost surely, 211055121220 is an apocalyptic number.

11055121220 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 11055121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14005934208).

11055121220 is an abundant number, since it is smaller than the sum of its proper divisors (16956747196).

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

11055121220 is a wasteful number, since it uses less digits than its factorization.

11055121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104541 (or 104539 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 11055121220 its reverse (2212155011), we get a palindrome (13267276231).

The spelling of 11055121220 in words is "eleven billion, fifty-five million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 130 143 148 185 220 260 286 370 407 481 572 715 740 814 962 1430 1628 1924 2035 2405 2860 4070 4810 5291 8140 9620 10582 21164 26455 52910 104471 105820 208942 417884 522355 1044710 1149181 1358123 2089420 2298362 2716246 3865427 4596724 5432492 5745905 6790615 7730854 11491810 13581230 14939353 15461708 19327135 22983620 27162460 29878706 38654270 42519697 50250551 59757412 74696765 77308540 85039394 100501102 149393530 170078788 201002204 212598485 251252755 298787060 425196970 502505510 552756061 850393940 1005011020 1105512122 2211024244 2763780305 5527560610 11055121220