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13530313431 = 3223113578441
BaseRepresentation
bin11001001100111100…
…00011001011010111
31021220221200010201200
430212132003023113
5210202230012211
610114333323543
7656202523635
oct144636031327
937827603650
1013530313431
115813566818
1227573365b3
13137820b62b
14924d72355
15542ca6b56
hex3267832d7

13530313431 has 24 divisors (see below), whose sum is σ = 20574025056. Its totient is φ = 8551656960.

The previous prime is 13530313417. The next prime is 13530313451. The reversal of 13530313431 is 13431303531.

13530313431 is a `hidden beast` number, since 13 + 5 + 303 + 1 + 343 + 1 = 666.

It is not a de Polignac number, because 13530313431 - 210 = 13530312407 is a prime.

It is a super-2 number, since 2×135303134312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13530313395 and 13530313404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530313451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265830 + ... + 312611.

It is an arithmetic number, because the mean of its divisors is an integer number (857251044).

Almost surely, 213530313431 is an apocalyptic number.

13530313431 is a deficient number, since it is larger than the sum of its proper divisors (7043711625).

13530313431 is a wasteful number, since it uses less digits than its factorization.

13530313431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578583 (or 578580 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 13530313431 its reverse (13431303531), we get a palindrome (26961616962).

The spelling of 13530313431 in words is "thirteen billion, five hundred thirty million, three hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 23 69 113 207 339 1017 2599 7797 23391 578441 1735323 5205969 13304143 39912429 65363833 119737287 196091499 588274497 1503368159 4510104477 13530313431