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313304124141 = 3273476870813
BaseRepresentation
bin1001000111100100110…
…00011000101011101101
31002221200200222120002200
410203302120120223231
520113121323433031
6355532510412113
731430653054311
oct4436230305355
91087620876080
10313304124141
11110965012718
1250878b01039
1323710213608
1411242035b41
15823a6868e6
hex48f2618aed

313304124141 has 12 divisors (see below), whose sum is σ = 458749723068. Its totient is φ = 206008190784.

The previous prime is 313304124037. The next prime is 313304124149. The reversal of 313304124141 is 141421403313.

313304124141 is a `hidden beast` number, since 313 + 30 + 41 + 241 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71850802500 + 241453321641 = 268050^2 + 491379^2 .

It is not a de Polignac number, because 313304124141 - 27 = 313304124013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313304124149) 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 11 ways as a sum of consecutive naturals, for example, 238434750 + ... + 238436063.

It is an arithmetic number, because the mean of its divisors is an integer number (38229143589).

Almost surely, 2313304124141 is an apocalyptic number.

It is an amenable number.

313304124141 is a deficient number, since it is larger than the sum of its proper divisors (145445598927).

313304124141 is a wasteful number, since it uses less digits than its factorization.

313304124141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476870892 (or 476870889 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 313304124141 its reverse (141421403313), we get a palindrome (454725527454).

The spelling of 313304124141 in words is "three hundred thirteen billion, three hundred four million, one hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 73 219 657 476870813 1430612439 4291837317 34811569349 104434708047 313304124141