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1310131224305 = 5417122574933
BaseRepresentation
bin10011000100001001111…
…001111111111011110001
311122020200022000222020222
4103010021321333323301
5132431122043134210
62441511014542425
7163440162443441
oct23041171777361
94566608028228
101310131224305
11465694a14a42
12191ab4367a15
139671103b717
14475a6d0a121
152412d5a4655
hex13109e7fef1

1310131224305 has 48 divisors (see below), whose sum is σ = 1640193870672. Its totient is φ = 1004013158400.

The previous prime is 1310131224293. The next prime is 1310131224343. The reversal of 1310131224305 is 5034221310131.

It can be written as a sum of positive squares in 8 ways, for example, as 18505793296 + 1291625431009 = 136036^2 + 1136497^2 .

It is not a de Polignac number, because 1310131224305 - 28 = 1310131224049 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265582619 + ... + 265587551.

It is an arithmetic number, because the mean of its divisors is an integer number (34170705639).

Almost surely, 21310131224305 is an apocalyptic number.

It is an amenable number.

1310131224305 is a deficient number, since it is larger than the sum of its proper divisors (330062646367).

1310131224305 is an equidigital number, since it uses as much as digits as its factorization.

1310131224305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 1310131224305 its reverse (5034221310131), we get a palindrome (6344352534436).

The spelling of 1310131224305 in words is "one trillion, three hundred ten billion, one hundred thirty-one million, two hundred twenty-four thousand, three hundred five".

Divisors: 1 5 41 71 205 257 355 1285 2911 4933 5041 10537 14555 18247 24665 25205 52685 91235 202253 206681 350243 748127 1011265 1033405 1267781 1295537 1751215 3740635 6338905 6477685 14359963 24867253 51979021 53117017 71799815 90012451 124336265 259895105 265585085 450062255 1019557373 3690510491 5097786865 6390884021 18452552455 31954420105 262026244861 1310131224305