Search a number
-
+
11012220121122 = 23311148311250023
BaseRepresentation
bin1010000000111111101101…
…1101111111000000100010
31102222202110112222011002000
42200033323131333000202
52420411011322333442
635230535531104430
72214415036406523
oct240177335770042
942882415864060
1011012220121122
113566290196870
12129a2aa2a2116
1361b5a906945c
142a0dcc4d284a
151416be40ad4c
hexa03fb77f022

11012220121122 has 64 divisors (see below), whose sum is σ = 26698112593920. Its totient is φ = 3336808726800.

The previous prime is 11012220121109. The next prime is 11012220121157. The reversal of 11012220121122 is 22112102221011.

11012220121122 is a `hidden beast` number, since 110 + 122 + 201 + 211 + 22 = 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 = 11012220121095 and 11012220121104.

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 31 ways as a sum of consecutive naturals, for example, 8184603 + ... + 9434625.

It is an arithmetic number, because the mean of its divisors is an integer number (417158009280).

Almost surely, 211012220121122 is an apocalyptic number.

11012220121122 is an abundant number, since it is smaller than the sum of its proper divisors (15685892472798).

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

11012220121122 is a wasteful number, since it uses less digits than its factorization.

11012220121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264876 (or 1264870 counting only the distinct ones).

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

Adding to 11012220121122 its reverse (22112102221011), we get a palindrome (33124322342133).

The spelling of 11012220121122 in words is "eleven trillion, twelve billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 14831 29662 44493 88986 133479 163141 266958 326282 400437 489423 800874 978846 1250023 1468269 2500046 2936538 3750069 4404807 7500138 8809614 11250207 13750253 22500414 27500506 33750621 41250759 67501242 82501518 123752277 247504554 371256831 742513662 18539091113 37078182226 55617273339 111234546678 166851820017 203930002243 333703640034 407860004486 500555460051 611790006729 1001110920102 1223580013458 1835370020187 3670740040374 5506110060561 11012220121122