Search a number
-
+
2012231320 = 2351115729129
BaseRepresentation
bin111011111110000…
…0011011010011000
312012020100221102221
41313330003122120
513110112400240
6531401033424
7100602453421
oct16774033230
95166327387
102012231320
119429411a0
12481a85874
13260b6a728
14151360648
15bb9cba4a
hex77f03698

2012231320 has 64 divisors (see below), whose sum is σ = 4970743200. Its totient is φ = 727034880.

The previous prime is 2012231281. The next prime is 2012231327. The reversal of 2012231320 is 231322102.

It is a junction number, because it is equal to n+sod(n) for n = 2012231294 and 2012231303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012231327) 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 15 ways as a sum of consecutive naturals, for example, 54516 + ... + 83644.

Almost surely, 22012231320 is an apocalyptic number.

2012231320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485371600).

2012231320 is an abundant number, since it is smaller than the sum of its proper divisors (2958511880).

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

2012231320 is a wasteful number, since it uses less digits than its factorization.

2012231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29308 (or 29304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2012231320 is about 44857.9014221575. The cubic root of 2012231320 is about 1262.4842480144.

Adding to 2012231320 its reverse (231322102), we get a palindrome (2243553422).

It can be divided in two parts, 2012 and 231320, that added together give a palindrome (233332).

The spelling of 2012231320 in words is "two billion, twelve million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 3140 3454 6280 6908 8635 13816 17270 29129 34540 58258 69080 116516 145645 233032 291290 320419 582580 640838 1165160 1281676 1602095 2563352 3204190 4573253 6408380 9146506 12816760 18293012 22866265 36586024 45732530 50305783 91465060 100611566 182930120 201223132 251528915 402446264 503057830 1006115660 2012231320