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11122122320 = 245731904473
BaseRepresentation
bin10100101101110111…
…00001111001010000
31001201010020100120022
422112323201321100
5140234230403240
65035345403012
7542421323411
oct122673417120
931633210508
1011122122320
11479816a131
1221a4939468
13108331558a
147771bd808
154516639b5
hex296ee1e50

11122122320 has 40 divisors (see below), whose sum is σ = 26213180136. Its totient is φ = 4387903488.

The previous prime is 11122122317. The next prime is 11122122329. The reversal of 11122122320 is 2322122111.

11122122320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23078416 + 11099043904 = 4804^2 + 105352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122122329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 946397 + ... + 958076.

Almost surely, 211122122320 is an apocalyptic number.

11122122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122122320 is an abundant number, since it is smaller than the sum of its proper divisors (15091057816).

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

11122122320 is a wasteful number, since it uses less digits than its factorization.

11122122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904559 (or 1904553 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11122122320 its reverse (2322122111), we get a palindrome (13444244431).

The spelling of 11122122320 in words is "eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 1904473 3808946 7617892 9522365 15235784 19044730 30471568 38089460 76178920 139026529 152357840 278053058 556106116 695132645 1112212232 1390265290 2224424464 2780530580 5561061160 11122122320