Search a number
-
+
1313330312295 = 325311331370717
BaseRepresentation
bin10011000111001000100…
…101100011010001100111
311122112221020200110222100
4103013020211203101213
5133004200024443140
62443200254303143
7163612356314541
oct23071045432147
94575836613870
101313330312295
11466a867a5111
121926477b7ab3
1396b00a4b0b1
14477cbb38691
1524269372530
hex131c8963467

1313330312295 has 48 divisors (see below), whose sum is σ = 2350082472192. Its totient is φ = 677787402240.

The previous prime is 1313330312291. The next prime is 1313330312317. The reversal of 1313330312295 is 5922130333131.

1313330312295 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 330 + 31 + 2 + 295 = 666.

It is not a de Polignac number, because 1313330312295 - 22 = 1313330312291 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313330312291) 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 47 ways as a sum of consecutive naturals, for example, 18536277 + ... + 18606993.

It is an arithmetic number, because the mean of its divisors is an integer number (48960051504).

Almost surely, 21313330312295 is an apocalyptic number.

1313330312295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1313330312295 is a deficient number, since it is larger than the sum of its proper divisors (1036752159897).

1313330312295 is a wasteful number, since it uses less digits than its factorization.

1313330312295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84072 (or 84069 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

It can be divided in two parts, 1313330 and 312295, that added together give a square (1625625 = 12752).

The spelling of 1313330312295 in words is "one trillion, three hundred thirteen billion, three hundred thirty million, three hundred twelve thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 13313 39939 66565 70717 119817 199695 212151 353585 412703 599085 636453 1060755 1238109 2063515 2192227 3182265 3714327 6190545 6576681 10961135 18571635 19730043 32883405 98650215 941455421 2824366263 4707277105 8473098789 14121831315 29185118051 42365493945 87555354153 145925590255 262666062459 437776770765 1313330312295