Search a number
-
+
1051113312 = 25323649699
BaseRepresentation
bin111110101001101…
…011011101100000
32201020212002101200
4332221223131200
54123041111222
6252145001200
735022213204
oct7651533540
92636762350
101051113312
1149a364a97
12254023200
131399c5252
149d854b04
156242aeac
hex3ea6b760

1051113312 has 36 divisors (see below), whose sum is σ = 2989104300. Its totient is φ = 350371008.

The previous prime is 1051113299. The next prime is 1051113313. The reversal of 1051113312 is 2133111501.

1051113312 is a `hidden beast` number, since 10 + 511 + 133 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10511133122 = 2209678389327218688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051113313) 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 5 ways as a sum of consecutive naturals, for example, 1824562 + ... + 1825137.

It is an arithmetic number, because the mean of its divisors is an integer number (83030675).

Almost surely, 21051113312 is an apocalyptic number.

1051113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1051113312 is an abundant number, since it is smaller than the sum of its proper divisors (1937990988).

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

1051113312 is a wasteful number, since it uses less digits than its factorization.

1051113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649715 (or 3649704 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1051113312 is about 32420.8777179150. The cubic root of 1051113312 is about 1016.7554573114.

Adding to 1051113312 its reverse (2133111501), we get a palindrome (3184224813).

The spelling of 1051113312 in words is "one billion, fifty-one million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3649699 7299398 10949097 14598796 21898194 29197592 32847291 43796388 58395184 65694582 87592776 116790368 131389164 175185552 262778328 350371104 525556656 1051113312