Search a number
-
+
11011222102212 = 223210122091137087
BaseRepresentation
bin1010000000111011111111…
…1110110110000011000100
31102222122220000000112111200
42200032333332312003010
52420401440324232322
635230252520102500
72214351230366433
oct240167776660304
942878800015450
1011011222102212
1135659188a6452
12129a070004a30
1361b47a373c17
142a0d35b3d11a
151416619bb8ac
hexa03bffb60c4

11011222102212 has 72 divisors (see below), whose sum is σ = 28110983427072. Its totient is φ = 3633875688000.

The previous prime is 11011222102189. The next prime is 11011222102229. The reversal of 11011222102212 is 21220122211011.

11011222102212 is a `hidden beast` number, since 110 + 1 + 122 + 210 + 221 + 2 = 666.

It is a super-3 number, since 3×110112221022123 (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80254333 + ... + 80391419.

It is an arithmetic number, because the mean of its divisors is an integer number (390430325376).

Almost surely, 211011222102212 is an apocalyptic number.

11011222102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11011222102212 is an abundant number, since it is smaller than the sum of its proper divisors (17099761324860).

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

11011222102212 is a wasteful number, since it uses less digits than its factorization.

11011222102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159289 (or 159284 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11011222102212 its reverse (21220122211011), we get a palindrome (32231344313223).

The spelling of 11011222102212 in words is "eleven trillion, eleven billion, two hundred twenty-two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 22091 44182 66273 88364 132546 137087 198819 265092 274174 397638 411261 548348 795276 822522 1233783 1645044 2231191 2467566 4462382 4935132 6693573 8924764 13387146 13845787 20080719 26774292 27691574 40161438 41537361 55383148 80322876 83074722 124612083 166149444 249224166 498448332 3028388917 6056777834 9085166751 12113555668 18170333502 27255500253 36340667004 54511000506 109022001012 305867280617 611734561234 917601841851 1223469122468 1835203683702 2752805525553 3670407367404 5505611051106 11011222102212