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1313315321451 = 37241536776073
BaseRepresentation
bin10011000111000111101…
…100010111011001101011
311122112220012110212101220
4103013013230113121223
5133004132210241301
62443155001113123
7163612115020500
oct23070754273153
94575805425356
101313315321451
11466a79296291
121926427887a3
1396aca8cc983
14477c9b554a7
1524267db0936
hex131c7b1766b

1313315321451 has 96 divisors (see below), whose sum is σ = 2129523213888. Its totient is φ = 717168291840.

The previous prime is 1313315321443. The next prime is 1313315321459. The reversal of 1313315321451 is 1541235133131.

It is an interprime number because it is at equal distance from previous prime (1313315321443) and next prime (1313315321459).

It is not a de Polignac number, because 1313315321451 - 23 = 1313315321443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313315321459) 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 95 ways as a sum of consecutive naturals, for example, 216251751 + ... + 216257823.

It is an arithmetic number, because the mean of its divisors is an integer number (22182533478).

Almost surely, 21313315321451 is an apocalyptic number.

1313315321451 is a deficient number, since it is larger than the sum of its proper divisors (816207892437).

1313315321451 is a wasteful number, since it uses less digits than its factorization.

1313315321451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861 (or 6854 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The spelling of 1313315321451 in words is "one trillion, three hundred thirteen billion, three hundred fifteen million, three hundred twenty-one thousand, four hundred fifty-one".

Divisors: 1 3 7 21 41 49 53 123 147 159 287 371 677 861 1113 2009 2031 2173 2597 4739 6027 6073 6519 7791 14217 15211 18219 27757 33173 35881 42511 45633 83271 99519 106477 107643 127533 194299 248993 251167 297577 319431 321869 582897 746979 753501 892731 965607 1360093 1471121 1742951 1758169 2253083 4080279 4111421 4413363 5228853 5274507 6759249 10297847 12200657 12334263 13196629 15771581 28779947 30893541 36601971 39589887 47314743 72084929 86339841 92376403 168568261 201459629 216254787 217905313 277129209 505704783 604378887 646634821 653715939 1179977827 1525337191 1939904463 3539933481 4576011573 8259844789 8934117833 10677360337 24779534367 26802353499 32032081011 62538824831 187616474493 437771773817 1313315321451