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135411464133 = 321111312104359
BaseRepresentation
bin111111000011100100…
…1101111011111000101
3110221112001120002212100
41332013021233133011
54204310313323013
6142112425342313
712532423311501
oct1760711573705
9427461502770
10135411464133
1152478272240
12222b1037999
13ca00059b0a
1467a8077301
1537c7e95473
hex1f8726f7c5

135411464133 has 24 divisors (see below), whose sum is σ = 215263938240. Its totient is φ = 81341285760.

The previous prime is 135411464077. The next prime is 135411464171. The reversal of 135411464133 is 331464114531.

135411464133 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 1 + 1 + 4 + 641 + 3 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-135411464133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135411464183) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6040993 + ... + 6063366.

It is an arithmetic number, because the mean of its divisors is an integer number (8969330760).

Almost surely, 2135411464133 is an apocalyptic number.

It is an amenable number.

135411464133 is a deficient number, since it is larger than the sum of its proper divisors (79852474107).

135411464133 is a wasteful number, since it uses less digits than its factorization.

135411464133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104489 (or 12104486 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 135411464133 its reverse (331464114531), we get a palindrome (466875578664).

The spelling of 135411464133 in words is "one hundred thirty-five billion, four hundred eleven million, four hundred sixty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 99 113 339 1017 1243 3729 11187 12104359 36313077 108939231 133147949 399443847 1198331541 1367792567 4103377701 12310133103 15045718237 45137154711 135411464133