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3011819112 = 233410942641
BaseRepresentation
bin1011001110000100…
…1011011001101000
321202220021021010000
42303201023121220
522132011202422
61214505423000
7134431016511
oct26341133150
97686237100
103011819112
111306103305
1270079aa60
1338cc920b3
14208001a08
1512962acac
hexb384b668

3011819112 has 80 divisors (see below), whose sum is σ = 8513475300. Its totient is φ = 994705920.

The previous prime is 3011819101. The next prime is 3011819117. The reversal of 3011819112 is 2119181103.

It can be written as a sum of positive squares in 2 ways, for example, as 2921834916 + 89984196 = 54054^2 + 9486^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3011819117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49312 + ... + 91952.

Almost surely, 23011819112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3011819112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256737650).

3011819112 is an abundant number, since it is smaller than the sum of its proper divisors (5501656188).

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

3011819112 is a wasteful number, since it uses less digits than its factorization.

3011819112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42768 (or 42755 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 3011819112 is about 54880.0429300124. The cubic root of 3011819112 is about 1444.1411005884.

The spelling of 3011819112 in words is "three billion, eleven million, eight hundred nineteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 324 327 436 648 654 872 981 1308 1962 2616 2943 3924 5886 7848 8829 11772 17658 23544 35316 42641 70632 85282 127923 170564 255846 341128 383769 511692 767538 1023384 1151307 1535076 2302614 3070152 3453921 4605228 4647869 6907842 9210456 9295738 13815684 13943607 18591476 27631368 27887214 37182952 41830821 55774428 83661642 111548856 125492463 167323284 250984926 334646568 376477389 501969852 752954778 1003939704 1505909556 3011819112