Search a number
-
+
303032013100 = 225214922988811
BaseRepresentation
bin1000110100011100001…
…11011001000100101100
31001222011211012020210121
410122032013121010230
514431102143404400
6351113323414324
730615262416565
oct4321607310454
91058154166717
10303032013100
11107573742653
124a8909843a4
13227640414bb
1410949abd16c
157d3897821a
hex468e1d912c

303032013100 has 72 divisors (see below), whose sum is σ = 664891038000. Its totient is φ = 119872185600.

The previous prime is 303032013083. The next prime is 303032013113. The reversal of 303032013100 is 1310230303.

It is a super-2 number, since 2×3030320131002 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3367695 + ... + 3456505.

It is an arithmetic number, because the mean of its divisors is an integer number (9234597750).

Almost surely, 2303032013100 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 303032013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332445519000).

303032013100 is an abundant number, since it is smaller than the sum of its proper divisors (361859024900).

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

303032013100 is a wasteful number, since it uses less digits than its factorization.

303032013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89203 (or 89196 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 303032013100 its reverse (1310230303), we get a palindrome (304342243403).

The spelling of 303032013100 in words is "three hundred three billion, thirty-two million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 229 298 458 596 745 916 1145 1490 2290 2980 3725 4580 5725 7450 11450 14900 22900 34121 68242 88811 136484 170605 177622 341210 355244 444055 682420 853025 888110 1706050 1776220 2220275 3412100 4440550 8881100 13232839 20337719 26465678 40675438 52931356 66164195 81350876 101688595 132328390 203377190 264656780 330820975 406754380 508442975 661641950 1016885950 1323283900 2033771900 3030320131 6060640262 12121280524 15151600655 30303201310 60606402620 75758003275 151516006550 303032013100