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1313450223253 = 72618916133061
BaseRepresentation
bin10011000111001111101…
…110111110011010010101
311122120020121022120212221
4103013033232332122111
5133004421224121003
62443220220342341
7163615343455300
oct23071756763225
94576217276787
101313450223253
11467038455a83
1219267b9a49b1
1396b1c84361c
14477dda2db37
1524274b5b7bd
hex131cfbbe695

1313450223253 has 48 divisors (see below), whose sum is σ = 1571874148080. Its totient is φ = 1093879987200.

The previous prime is 1313450223139. The next prime is 1313450223313. The reversal of 1313450223253 is 3523220543131.

It can be written as a sum of positive squares in 8 ways, for example, as 19082107044 + 1294368116209 = 138138^2 + 1137703^2 .

It is not a de Polignac number, because 1313450223253 - 29 = 1313450222741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313450223853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429090343 + ... + 429093403.

It is an arithmetic number, because the mean of its divisors is an integer number (32747378085).

Almost surely, 21313450223253 is an apocalyptic number.

It is an amenable number.

1313450223253 is a deficient number, since it is larger than the sum of its proper divisors (258423924827).

1313450223253 is a wasteful number, since it uses less digits than its factorization.

1313450223253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 1313450223253 its reverse (3523220543131), we get a palindrome (4836670766384).

The spelling of 1313450223253 in words is "one trillion, three hundred thirteen billion, four hundred fifty million, two hundred twenty-three thousand, two hundred fifty-three".

Divisors: 1 7 49 61 89 427 623 1613 2989 3061 4361 5429 11291 21427 38003 79037 98393 143557 149989 186721 266021 272429 688751 1004899 1307047 1907003 4821257 4937393 7034293 8756977 9149329 13349021 16618169 34561751 61298839 116327183 241932257 301180973 429091873 439427977 814290281 2108266811 3075995839 14757867677 21531970873 26805106597 187635746179 1313450223253