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2010113232 = 243412713769
BaseRepresentation
bin111011111001111…
…1110010011010000
312012002101022222020
41313303332103100
513104042110412
6531243411440
7100545452301
oct16763762320
95162338866
102010113232
11941724906
12481223b80
132605a861a
14150d6c7a8
15bb70e18c
hex77cfe4d0

2010113232 has 80 divisors (see below), whose sum is σ = 5340491520. Its totient is φ = 651110400.

The previous prime is 2010113219. The next prime is 2010113299. The reversal of 2010113232 is 2323110102.

It is a super-2 number, since 2×20101132322 = 8081110410922971648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531444 + ... + 535212.

It is an arithmetic number, because the mean of its divisors is an integer number (66756144).

Almost surely, 22010113232 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 2010113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670245760).

2010113232 is an abundant number, since it is smaller than the sum of its proper divisors (3330378288).

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

2010113232 is a wasteful number, since it uses less digits than its factorization.

2010113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2010113232 is about 44834.2863442701. The cubic root of 2010113232 is about 1262.0411260764.

Adding to 2010113232 its reverse (2323110102), we get a palindrome (4333223334).

It can be divided in two parts, 20101 and 13232, that added together give a palindrome (33333).

The spelling of 2010113232 in words is "two billion, ten million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 271 328 492 542 656 813 984 1084 1626 1968 2168 3252 3769 4336 6504 7538 11111 11307 13008 15076 22222 22614 30152 33333 44444 45228 60304 66666 88888 90456 133332 154529 177776 180912 266664 309058 463587 533328 618116 927174 1021399 1236232 1854348 2042798 2472464 3064197 3708696 4085596 6128394 7417392 8171192 12256788 16342384 24513576 41877359 49027152 83754718 125632077 167509436 251264154 335018872 502528308 670037744 1005056616 2010113232