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300304432413 = 32111729872121
BaseRepresentation
bin1000101111010111000…
…10011111110100011101
31001201010201202210111200
410113223202133310131
514410010413314123
6345542530110113
730460552362366
oct4275342376435
91051121683450
10300304432413
111063a4028937
124a24b41b339
132241ac1c02b
141076b74ab6d
157c29296143
hex45eb89fd1d

300304432413 has 12 divisors (see below), whose sum is σ = 434161421148. Its totient is φ = 200023715520.

The previous prime is 300304432399. The next prime is 300304432433. The reversal of 300304432413 is 314234403003.

300304432413 is a `hidden beast` number, since 30 + 0 + 304 + 4 + 324 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47333658969 + 252970773444 = 217563^2 + 502962^2 .

It is not a de Polignac number, because 300304432413 - 25 = 300304432381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300304432433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14926008 + ... + 14946113.

It is an arithmetic number, because the mean of its divisors is an integer number (36180118429).

Almost surely, 2300304432413 is an apocalyptic number.

It is an amenable number.

300304432413 is a deficient number, since it is larger than the sum of its proper divisors (133856988735).

300304432413 is a wasteful number, since it uses less digits than its factorization.

300304432413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29873244 (or 29873241 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 300304432413 its reverse (314234403003), we get a palindrome (614538835416).

The spelling of 300304432413 in words is "three hundred billion, three hundred four million, four hundred thirty-two thousand, four hundred thirteen".

Divisors: 1 3 9 1117 3351 10053 29872121 89616363 268849089 33367159157 100101477471 300304432413