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300131033033 = 131711316577253
BaseRepresentation
bin1000101111000010011…
…01000001111111001001
31001200200122111012021102
410113201031001333021
514404132021024113
6345513413351145
730453345455006
oct4274115017711
91050618435242
10300131033033
11106315164367
124a2013384b5
13223c1019650
14107526d08ad
157c18e43758
hex45e1341fc9

300131033033 has 32 divisors (see below), whose sum is σ = 345515448096. Its totient is φ = 258248245248.

The previous prime is 300131033029. The next prime is 300131033053. The reversal of 300131033033 is 330330131003.

It can be written as a sum of positive squares in 16 ways, for example, as 136488130249 + 163642902784 = 369443^2 + 404528^2 .

It is a cyclic number.

It is not a de Polignac number, because 300131033033 - 22 = 300131033029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 300131032996 and 300131033014.

It is not an unprimeable number, because it can be changed into a prime (300131033053) 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 31 ways as a sum of consecutive naturals, for example, 41376635 + ... + 41383887.

It is an arithmetic number, because the mean of its divisors is an integer number (10797357753).

Almost surely, 2300131033033 is an apocalyptic number.

It is an amenable number.

300131033033 is a deficient number, since it is larger than the sum of its proper divisors (45384415063).

300131033033 is a wasteful number, since it uses less digits than its factorization.

300131033033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9053.

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 300131033033 its reverse (330330131003), we get a palindrome (630461164036).

The spelling of 300131033033 in words is "three hundred billion, one hundred thirty-one million, thirty-three thousand, thirty-three".

Divisors: 1 13 17 113 221 1469 1657 1921 7253 21541 24973 28169 94289 123301 187241 366197 819589 1602913 2434133 3183097 10654657 12018221 13933013 41380261 156236873 181129169 204309757 1358058973 2656026841 17654766649 23087002541 300131033033