Search a number
-
+
20132130312 = 2333726350627
BaseRepresentation
bin10010101111111101…
…111110111000001000
31220222001011011222000
4102233331332320020
5312212311132222
613125405231000
71311615166320
oct225775767010
956861134860
1020132130312
1185a1076528
123a9a262460
131b8ab8ac58
14d8da7c280
157cc66a9ac
hex4aff7ee08

20132130312 has 128 divisors (see below), whose sum is σ = 64155801600. Its totient is φ = 5730053184.

The previous prime is 20132130289. The next prime is 20132130313. The reversal of 20132130312 is 21303123102.

20132130312 is a `hidden beast` number, since 2 + 0 + 1 + 321 + 30 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20132130313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372343 + ... + 422969.

It is an arithmetic number, because the mean of its divisors is an integer number (501217200).

Almost surely, 220132130312 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 20132130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32077900800).

20132130312 is an abundant number, since it is smaller than the sum of its proper divisors (44023671288).

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

20132130312 is a wasteful number, since it uses less digits than its factorization.

20132130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50912 (or 50902 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20132130312 its reverse (21303123102), we get a palindrome (41435253414).

The spelling of 20132130312 in words is "twenty billion, one hundred thirty-two million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 263 378 504 526 756 789 1052 1512 1578 1841 2104 2367 3156 3682 4734 5523 6312 7101 7364 9468 11046 14202 14728 16569 18936 22092 28404 33138 44184 49707 50627 56808 66276 99414 101254 132552 151881 198828 202508 303762 354389 397656 405016 455643 607524 708778 911286 1063167 1215048 1366929 1417556 1822572 2126334 2733858 2835112 3189501 3645144 4252668 5467716 6379002 8505336 9568503 10935432 12758004 13314901 19137006 25516008 26629802 38274012 39944703 53259604 76548024 79889406 93204307 106519208 119834109 159778812 186408614 239668218 279612921 319557624 359502327 372817228 479336436 559225842 719004654 745634456 838838763 958672872 1118451684 1438009308 1677677526 2236903368 2516516289 2876018616 3355355052 5033032578 6710710104 10066065156 20132130312