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135431215335 = 325131732774831
BaseRepresentation
bin111111000100001010…
…1000101100011100111
3110221120102201120102100
41332020111011203213
54204330342342320
6142114412543143
712533053223253
oct1761025054347
9427512646370
10135431215335
1152488432649
12222b7781ab3
13ca04183c10
1467aa939263
1537c9a97790
hex1f885458e7

135431215335 has 96 divisors (see below), whose sum is σ = 255236986368. Its totient is φ = 66035450880.

The previous prime is 135431215313. The next prime is 135431215349. The reversal of 135431215335 is 533512134531.

135431215335 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 312 + 1 + 5 + 335 = 666.

It is not a de Polignac number, because 135431215335 - 213 = 135431207143 is a prime.

It is a super-2 number, since 2×1354312153352 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135431215335.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 28031370 + ... + 28036200.

It is an arithmetic number, because the mean of its divisors is an integer number (2658718608).

Almost surely, 2135431215335 is an apocalyptic number.

135431215335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135431215335 is a deficient number, since it is larger than the sum of its proper divisors (119805771033).

135431215335 is a wasteful number, since it uses less digits than its factorization.

135431215335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5302 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

Adding to 135431215335 its reverse (533512134531), we get a palindrome (668943349866).

The spelling of 135431215335 in words is "one hundred thirty-five billion, four hundred thirty-one million, two hundred fifteen thousand, three hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 173 195 277 519 585 831 865 1385 1557 2249 2493 2595 3601 4155 4831 6747 7785 10803 11245 12465 14493 18005 20241 24155 32409 33735 43479 47921 54015 62803 72465 101205 143763 162045 188409 217395 239605 314015 431289 565227 622973 718815 835763 942045 1338187 1868919 2156445 2507289 2826135 3114865 4014561 4178815 5606757 6690935 7521867 9344595 10864919 12043683 12536445 17396431 20072805 28033785 32594757 37609335 52189293 54324595 60218415 86982155 97784271 156567879 162973785 231506351 260946465 488921355 694519053 782839395 1157531755 2083557159 3009582563 3472595265 9028747689 10417785795 15047912815 27086243067 45143738445 135431215335