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313100403130323 = 34431812048324247
BaseRepresentation
bin100011100110000110101111…
…0010011101011111111010011
31112001121002212102122121020000
41013030031132103223333103
5312014314111200132243
63025524201200221043
7122643520604000154
oct10714153623537723
91461532772577200
10313100403130323
1190844154069076
122b148b5760a783
131059231a269003
1457461d725992b
15262e6d78115d3
hex11cc35e4ebfd3

313100403130323 has 80 divisors (see below), whose sum is σ = 481282560734976. Its totient is φ = 202734666953280.

The previous prime is 313100403130297. The next prime is 313100403130327. The reversal of 313100403130323 is 323031304001313.

313100403130323 is a `hidden beast` number, since 3 + 1 + 3 + 100 + 403 + 130 + 3 + 23 = 666.

It is not a de Polignac number, because 313100403130323 - 218 = 313100402868179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (313100403130327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12912942186 + ... + 12912966432.

Almost surely, 2313100403130323 is an apocalyptic number.

313100403130323 is a deficient number, since it is larger than the sum of its proper divisors (168182157604653).

313100403130323 is a wasteful number, since it uses less digits than its factorization.

313100403130323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44966 (or 44957 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 313100403130323 its reverse (323031304001313), we get a palindrome (636131707131636).

The spelling of 313100403130323 in words is "three hundred thirteen trillion, one hundred billion, four hundred three million, one hundred thirty thousand, three hundred twenty-three".

Divisors: 1 3 9 27 43 81 129 181 387 543 1161 1629 3483 4887 7783 14661 20483 23349 24247 61449 70047 72741 184347 210141 218223 553041 630423 654669 880769 1042621 1659123 1964007 2642307 3127863 3707423 4388707 7926921 9383589 11122269 13166121 23780763 28150767 33366807 39498363 71342289 84452301 100100421 118495089 159419189 188714401 300301263 355485267 478257567 496651301 566143203 1434772701 1489953903 1698429609 4304318103 4469861709 5095288827 12912954309 13409585127 15285866481 21356005943 40228755381 64068017829 89893885481 192204053487 269681656443 576612160461 809044969329 1729836481383 2427134907987 3865437075683 7281404723961 11596311227049 34788933681147 104366801043441 313100403130323