Search a number
-
+
135305431002 = 23279071183961
BaseRepresentation
bin111111000000011010…
…1010000011111011010
3110221020200001001202100
41332000311100133122
54204101142243002
6142054120544230
712526665121140
oct1760065203732
9427220031670
10135305431002
115242342aa55
1222281622076
13c9b40b3211
146797d55590
1537bd9ed11c
hex1f80d507da

135305431002 has 48 divisors (see below), whose sum is σ = 335411698752. Its totient is φ = 38616039360.

The previous prime is 135305430991. The next prime is 135305431039. The reversal of 135305431002 is 200134503531.

135305431002 is a `hidden beast` number, since 13 + 5 + 3 + 0 + 543 + 100 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 477699 + ... + 706262.

It is an arithmetic number, because the mean of its divisors is an integer number (6987743724).

Almost surely, 2135305431002 is an apocalyptic number.

135305431002 is an abundant number, since it is smaller than the sum of its proper divisors (200106267750).

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

135305431002 is a wasteful number, since it uses less digits than its factorization.

135305431002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184883 (or 1184880 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 135305431002 its reverse (200134503531), we get a palindrome (335439934533).

The spelling of 135305431002 in words is "one hundred thirty-five billion, three hundred five million, four hundred thirty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 907 1814 2721 5442 6349 8163 12698 16326 19047 38094 57141 114282 1183961 2367922 3551883 7103766 8287727 10655649 16575454 21311298 24863181 49726362 74589543 149179086 1073852627 2147705254 3221557881 6443115762 7516968389 9664673643 15033936778 19329347286 22550905167 45101810334 67652715501 135305431002