Search a number
-
+
2013323332300 = 2252715531852013
BaseRepresentation
bin11101010011000011011…
…011000000101011001100
321010110201222001020221221
4131103003123000223030
5230441241233113200
64140524042133124
7265313012650330
oct35230333005314
97113658036857
102013323332300
11706933596615
12286241ab11a4
13117b17912c57
146d6341437c0
15375879eb91a
hex1d4c36c0acc

2013323332300 has 72 divisors (see below), whose sum is σ = 4996259656416. Its totient is φ = 689837429760.

The previous prime is 2013323332277. The next prime is 2013323332313. The reversal of 2013323332300 is 32333233102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 161094 + ... + 2013106.

It is an arithmetic number, because the mean of its divisors is an integer number (69392495228).

Almost surely, 22013323332300 is an apocalyptic number.

2013323332300 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 2013323332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498129828208).

2013323332300 is an abundant number, since it is smaller than the sum of its proper divisors (2982936324116).

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

2013323332300 is a wasteful number, since it uses less digits than its factorization.

2013323332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853587 (or 1853580 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 2013323332300 its reverse (32333233102), we get a palindrome (2045656565402).

The spelling of 2013323332300 in words is "two trillion, thirteen billion, three hundred twenty-three million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1553 3106 6212 7765 10871 15530 21742 31060 38825 43484 54355 77650 108710 155300 217420 271775 543550 1087100 1852013 3704026 7408052 9260065 12964091 18520130 25928182 37040260 46300325 51856364 64820455 92600650 129640910 185201300 259281820 324102275 648204550 1296409100 2876176189 5752352378 11504704756 14380880945 20133233323 28761761890 40266466646 57523523780 71904404725 80532933292 100666166615 143808809450 201332333230 287617618900 402664666460 503330833075 1006661666150 2013323332300