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135042424205 = 51310120570057
BaseRepresentation
bin111110111000100100…
…1111101110110001101
3110220120100010221020212
41331301021331312031
54203031330033310
6142012043452205
712520322444363
oct1756111756615
9426510127225
10135042424205
11522a8a23067
1222209527065
13c9717684b0
146771051633
1537a589a205
hex1f7127dd8d

135042424205 has 16 divisors (see below), whose sum is σ = 176244256944. Its totient is φ = 98736268800.

The previous prime is 135042424189. The next prime is 135042424219. The reversal of 135042424205 is 502424240531.

It can be written as a sum of positive squares in 8 ways, for example, as 396726724 + 134645697481 = 19918^2 + 366941^2 .

It is not a de Polignac number, because 135042424205 - 24 = 135042424189 is a prime.

It is a super-3 number, since 3×1350424242053 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10278464 + ... + 10291593.

It is an arithmetic number, because the mean of its divisors is an integer number (11015266059).

Almost surely, 2135042424205 is an apocalyptic number.

It is an amenable number.

135042424205 is a deficient number, since it is larger than the sum of its proper divisors (41201832739).

135042424205 is a wasteful number, since it uses less digits than its factorization.

135042424205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20570176.

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 135042424205 its reverse (502424240531), we get a palindrome (637466664736).

The spelling of 135042424205 in words is "one hundred thirty-five billion, forty-two million, four hundred twenty-four thousand, two hundred five".

Divisors: 1 5 13 65 101 505 1313 6565 20570057 102850285 267410741 1337053705 2077575757 10387878785 27008484841 135042424205