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135171228205 = 5134328912637
BaseRepresentation
bin111110111100011010…
…1010100001000101101
3110220220022111212010101
41331320311110020231
54203312313300310
6142032524311101
712523445324266
oct1757065241055
9426808455111
10135171228205
11523646a8452
12222446a2491
13c992355790
1467841bd96d
1537b1d3e43a
hex1f78d5422d

135171228205 has 48 divisors (see below), whose sum is σ = 180863429040. Its totient is φ = 96394281984.

The previous prime is 135171228161. The next prime is 135171228217. The reversal of 135171228205 is 502822171531.

It can be written as a sum of positive squares in 8 ways, for example, as 51723040329 + 83448187876 = 227427^2 + 288874^2 .

It is not a de Polignac number, because 135171228205 - 27 = 135171228077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10690147 + ... + 10702783.

It is an arithmetic number, because the mean of its divisors is an integer number (3767988105).

Almost surely, 2135171228205 is an apocalyptic number.

It is an amenable number.

135171228205 is a deficient number, since it is larger than the sum of its proper divisors (45692200835).

135171228205 is a wasteful number, since it uses less digits than its factorization.

135171228205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12830 (or 12787 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

Adding to 135171228205 its reverse (502822171531), we get a palindrome (637993399736).

The spelling of 135171228205 in words is "one hundred thirty-five billion, one hundred seventy-one million, two hundred twenty-eight thousand, two hundred five".

Divisors: 1 5 13 43 65 89 215 445 559 1157 1849 2795 3827 5785 9245 12637 19135 24037 49751 63185 120185 164281 164561 248755 543391 821405 822805 1124693 2139293 2716955 5623465 7064083 10696465 14621009 23365813 35320415 48361799 73105045 116829065 241808995 303755569 628703387 1518777845 2079557357 3143516935 10397786785 27034245641 135171228205