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13141350153513 = 3217381110407119
BaseRepresentation
bin1011111100111011010110…
…0000011111110100101001
31201112022010021202022110100
42333032311200133310221
53210301441114403023
643541015232540013
72524300623155331
oct277166540376451
951468107668410
1013141350153513
11420724062718a
121582a6b6b1609
137442bb1955ca
1433608aaac0c1
1517bc83ba3c43
hexbf3b581fd29

13141350153513 has 24 divisors (see below), whose sum is σ = 19115215217280. Its totient is φ = 8699518078560.

The previous prime is 13141350153479. The next prime is 13141350153521. The reversal of 13141350153513 is 31535105314131.

13141350153513 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 135 + 0 + 1 + 5 + 3 + 513 = 666.

It is not a de Polignac number, because 13141350153513 - 240 = 12041838525737 is a prime.

It is a super-2 number, since 2×131413501535132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13141350153523) 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, 3940833 + ... + 6466286.

It is an arithmetic number, because the mean of its divisors is an integer number (796467300720).

Almost surely, 213141350153513 is an apocalyptic number.

It is an amenable number.

13141350153513 is a deficient number, since it is larger than the sum of its proper divisors (5973865063767).

13141350153513 is a wasteful number, since it uses less digits than its factorization.

13141350153513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10408109 (or 10408106 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 13141350153513 its reverse (31535105314131), we get a palindrome (44676455467644).

The spelling of 13141350153513 in words is "thirteen trillion, one hundred forty-one billion, three hundred fifty million, one hundred fifty-three thousand, five hundred thirteen".

Divisors: 1 3 9 173 519 811 1557 2433 7299 140303 420909 1262727 10407119 31221357 93664071 1800431587 5401294761 8440173509 16203884283 25320520527 75961561581 1460150017057 4380450051171 13141350153513