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13534330131 = 3272291676337
BaseRepresentation
bin11001001101011010…
…10111110100010011
31021221020020012121100
430212231113310103
5210204242031011
610114555355443
7656251623300
oct144655276423
937836205540
1013534330131
11581585a603
122758752b83
131378cb698a
149256da0a7
155432ebd56
hex326b57d13

13534330131 has 72 divisors (see below), whose sum is σ = 23670148320. Its totient is φ = 7421331456.

The previous prime is 13534330123. The next prime is 13534330141. The reversal of 13534330131 is 13103343531.

13534330131 is a `hidden beast` number, since 1 + 353 + 4 + 3 + 301 + 3 + 1 = 666.

It is not a de Polignac number, because 13534330131 - 23 = 13534330123 is a prime.

It is a super-2 number, since 2×135343301312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13534330095 and 13534330104.

It is not an unprimeable number, because it can be changed into a prime (13534330141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2132595 + ... + 2138931.

It is an arithmetic number, because the mean of its divisors is an integer number (328752060).

Almost surely, 213534330131 is an apocalyptic number.

13534330131 is a deficient number, since it is larger than the sum of its proper divisors (10135818189).

13534330131 is a wasteful number, since it uses less digits than its factorization.

13534330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6543 counting only the distinct ones).

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

Adding to 13534330131 its reverse (13103343531), we get a palindrome (26637673662).

The spelling of 13534330131 in words is "thirteen billion, five hundred thirty-four million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 29 49 63 87 147 167 203 261 441 501 609 1169 1421 1503 1827 3507 4263 4843 6337 8183 10521 12789 14529 19011 24549 33901 43587 44359 57033 73647 101703 133077 183773 237307 305109 310513 399231 551319 711921 931539 1058279 1286411 1653957 2135763 2794617 3174837 3859233 7407953 9004877 9524511 11577699 22223859 27014631 30690091 51855671 66671577 81043893 92070273 155567013 214830637 276210819 466701039 644491911 1503814459 1933475733 4511443377 13534330131