Search a number
-
+
135315435255 = 357211131287431
BaseRepresentation
bin111111000000101101…
…1011010111011110111
3110221021100212100000020
41332001123122323313
54204111222412010
6142055115220223
712530146136100
oct1760133327367
9427240770006
10135315435255
1152429043330
1222284a47673
13c9b61a69b0
1467993db3a7
1537be827470
hex1f816daef7

135315435255 has 96 divisors (see below), whose sum is σ = 295882771968. Its totient is φ = 51909177600.

The previous prime is 135315435251. The next prime is 135315435289. The reversal of 135315435255 is 552534513531.

It is not a de Polignac number, because 135315435255 - 22 = 135315435251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135315435251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 538611 + ... + 748820.

It is an arithmetic number, because the mean of its divisors is an integer number (3082112208).

Almost surely, 2135315435255 is an apocalyptic number.

135315435255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135315435255 is an abundant number, since it is smaller than the sum of its proper divisors (160567336713).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135315435255 is a wasteful number, since it uses less digits than its factorization.

135315435255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287477 (or 1287470 counting only the distinct ones).

The product of its digits is 675000, while the sum is 42.

Adding to 135315435255 its reverse (552534513531), we get a palindrome (687849948786).

The spelling of 135315435255 in words is "one hundred thirty-five billion, three hundred fifteen million, four hundred thirty-five thousand, two hundred fifty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 49 55 65 77 91 105 143 147 165 195 231 245 273 385 429 455 539 637 715 735 1001 1155 1365 1617 1911 2145 2695 3003 3185 5005 7007 8085 9555 15015 21021 35035 105105 1287431 3862293 6437155 9012017 14161741 16736603 19311465 27036051 42485223 45060085 50209809 63084119 70808705 83683015 99132187 117156221 135180255 184102633 189252357 212426115 251049045 297396561 315420595 351468663 495660935 552307899 585781105 693925309 820093547 920513165 946261785 1288718431 1486982805 1757343315 2081775927 2460280641 2761539495 3469626545 3866155293 4100467735 6443592155 9021029017 10408879635 12301403205 19330776465 27063087051 45105145085 135315435255