Search a number
-
+
2010203331300 = 2232529712300267
BaseRepresentation
bin11101010000001001011…
…101001001101011100100
321010011200112012210012100
4131100021131021223210
5230413344023100200
64135250305452100
7265142466250443
oct35201135115344
97104615183170
102010203331300
1170558241369a
12285711041030
1311773b404208
146d419a20d5a
1537453b51d00
hex1d409749ae4

2010203331300 has 108 divisors (see below), whose sum is σ = 6307362459216. Its totient is φ = 535501924800.

The previous prime is 2010203331299. The next prime is 2010203331307. The reversal of 2010203331300 is 31333020102.

2010203331300 is a `hidden beast` number, since 2 + 0 + 10 + 20 + 3 + 331 + 300 = 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 (2010203331307) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 276234 + ... + 2024033.

It is an arithmetic number, because the mean of its divisors is an integer number (58401504252).

Almost surely, 22010203331300 is an apocalyptic number.

2010203331300 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 2010203331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153681229608).

2010203331300 is an abundant number, since it is smaller than the sum of its proper divisors (4297159127916).

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

2010203331300 is a wasteful number, since it uses less digits than its factorization.

2010203331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301258 (or 2301248 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2010203331300 its reverse (31333020102), we get a palindrome (2041536351402).

The spelling of 2010203331300 in words is "two trillion, ten billion, two hundred three million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 971 1942 2913 3884 4855 5826 8739 9710 11652 14565 17478 19420 24275 29130 34956 43695 48550 58260 72825 87390 97100 145650 174780 218475 291300 436950 873900 2300267 4600534 6900801 9201068 11501335 13801602 20702403 23002670 27603204 34504005 41404806 46005340 57506675 69008010 82809612 103512015 115013350 138016020 172520025 207024030 230026700 345040050 414048060 517560075 690080100 1035120150 2070240300 2233559257 4467118514 6700677771 8934237028 11167796285 13401355542 20102033313 22335592570 26802711084 33503388855 40204066626 44671185140 55838981425 67006777710 80408133252 100510166565 111677962850 134013555420 167516944275 201020333130 223355925700 335033888550 402040666260 502550832825 670067777100 1005101665650 2010203331300