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135345543531 = 31123771141931
BaseRepresentation
bin111111000001100111…
…0010001100101101011
3110221100110111222210120
41332003032101211223
54204141424343111
6142102112414323
712530663065242
oct1760316214553
9427313458716
10135345543531
1152444038100
1222292b473a3
13c9bc4b9043
14679d3d7959
1537c22c3406
hex1f8339196b

135345543531 has 48 divisors (see below), whose sum is σ = 206589406464. Its totient is φ = 78685992000.

The previous prime is 135345543511. The next prime is 135345543533.

135345543531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135345543531 - 211 = 135345541483 is a prime.

It is a super-2 number, since 2×1353455435312 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (135345543533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882636 + ... + 1024566.

It is an arithmetic number, because the mean of its divisors is an integer number (4303945968).

Almost surely, 2135345543531 is an apocalyptic number.

135345543531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135345543531 is a deficient number, since it is larger than the sum of its proper divisors (71243862933).

135345543531 is a wasteful number, since it uses less digits than its factorization.

135345543531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142064 (or 142053 counting only the distinct ones).

The product of its digits is 810000, while the sum is 42.

It can be divided in two parts, 135345 and 543531, that added together give a palindrome (678876).

The spelling of 135345543531 in words is "one hundred thirty-five billion, three hundred forty-five million, five hundred forty-three thousand, five hundred thirty-one".

Divisors: 1 3 11 33 37 71 111 121 213 363 407 781 1221 2343 2627 4477 7881 8591 13431 25773 28897 86691 141931 317867 425793 953601 1561241 4683723 5251447 10077101 15754341 17173651 30231303 51520953 57765917 110848111 173297751 332544333 372852737 635425087 1118558211 1219329221 1906275261 3657987663 4101380107 12304140321 45115181177 135345543531