Search a number
-
+
300103202022100 = 22525236157314261
BaseRepresentation
bin100010000111100010011100…
…0110000001010001011010100
31110100120120211010202111122221
41010033010320300022023110
5303313342324204201400
62542133301401432124
7120132512052260011
oct10417047060121324
91410516733674587
10300103202022100
118769306495a184
12297aa01719b644
13cb5b7c2410599
145417102c4a708
1524a658dc45c1a
hex110f138c0a2d4

300103202022100 has 36 divisors (see below), whose sum is σ = 651236396945148. Its totient is φ = 120038986144000.

The previous prime is 300103202022059. The next prime is 300103202022157. The reversal of 300103202022100 is 1220202301003.

It can be written as a sum of positive squares in 6 ways, for example, as 119081084855184 + 181022117166916 = 10912428^2 + 13454446^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 23421031 + ... + 33893230.

It is an arithmetic number, because the mean of its divisors is an integer number (18089899915143).

Almost surely, 2300103202022100 is an apocalyptic number.

It is an amenable number.

300103202022100 is an abundant number, since it is smaller than the sum of its proper divisors (351133194923048).

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

300103202022100 is a wasteful number, since it uses less digits than its factorization.

300103202022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57366636 (or 57366629 counting only the distinct ones).

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

Adding to 300103202022100 its reverse (1220202301003), we get a palindrome (301323404323103).

The spelling of 300103202022100 in words is "three hundred trillion, one hundred three billion, two hundred two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 52361 104722 209444 261805 523610 1047220 1309025 2618050 5236100 57314261 114628522 229257044 286571305 573142610 1146285220 1432856525 2865713050 5731426100 3001032020221 6002064040442 12004128080884 15005160101105 30010320202210 60020640404420 75025800505525 150051601011050 300103202022100