Search a number
-
+
2013011232 = 253533831033
BaseRepresentation
bin111011111111100…
…0001110100100000
312012021211120021120
41313333001310200
513110312324412
6531425452240
7100612212261
oct16777016440
95167746246
102013011232
11943324151
124821a1080
1326108170b
141514c4968
15bbad2b8c
hex77fc1d20

2013011232 has 96 divisors (see below), whose sum is σ = 5403138048. Its totient is φ = 655988736.

The previous prime is 2013011227. The next prime is 2013011251. The reversal of 2013011232 is 2321103102.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1948188 + ... + 1949220.

It is an arithmetic number, because the mean of its divisors is an integer number (56282688).

Almost surely, 22013011232 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 2013011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701569024).

2013011232 is an abundant number, since it is smaller than the sum of its proper divisors (3390126816).

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

2013011232 is a wasteful number, since it uses less digits than its factorization.

2013011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

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

The square root of 2013011232 is about 44866.5937196039. The cubic root of 2013011232 is about 1262.6473338756.

Adding to 2013011232 its reverse (2321103102), we get a palindrome (4334114334).

The spelling of 2013011232 in words is "two billion, thirteen million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 383 424 636 766 848 1033 1149 1272 1532 1696 2066 2298 2544 3064 3099 4132 4596 5088 6128 6198 8264 9192 12256 12396 16528 18384 20299 24792 33056 36768 40598 49584 54749 60897 81196 99168 109498 121794 162392 164247 218996 243588 324784 328494 395639 437992 487176 649568 656988 791278 875984 974352 1186917 1313976 1582556 1751968 1948704 2373834 2627952 3165112 4747668 5255904 6330224 9495336 12660448 18990672 20968867 37981344 41937734 62906601 83875468 125813202 167750936 251626404 335501872 503252808 671003744 1006505616 2013011232