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135240051141 = 341329879469
BaseRepresentation
bin111110111110011101…
…1110110100111000101
3110221002010000102110000
41331330323312213011
54203432423114031
6142043423351513
712525242316246
oct1757473664705
9427063012400
10135240051141
115239a535108
1222263752599
13c9a36a1600
14678d3b6ccd
1537b7dd63e6
hex1f7cef69c5

135240051141 has 30 divisors (see below), whose sum is σ = 218761104210. Its totient is φ = 83224638432.

The previous prime is 135240051119. The next prime is 135240051169. The reversal of 135240051141 is 141150042531.

It can be written as a sum of positive squares in 3 ways, for example, as 2419164225 + 132820886916 = 49185^2 + 364446^2 .

It is not a de Polignac number, because 135240051141 - 215 = 135240018373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135240051241) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4926046 + ... + 4953423.

It is an arithmetic number, because the mean of its divisors is an integer number (7292036807).

Almost surely, 2135240051141 is an apocalyptic number.

It is an amenable number.

135240051141 is a deficient number, since it is larger than the sum of its proper divisors (83521053069).

135240051141 is an equidigital number, since it uses as much as digits as its factorization.

135240051141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9879507 (or 9879485 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 135240051141 its reverse (141150042531), we get a palindrome (276390093672).

The spelling of 135240051141 in words is "one hundred thirty-five billion, two hundred forty million, fifty-one thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 13689 9879469 29638407 88915221 128433097 266745663 385299291 800236989 1155897873 1669630261 3467693619 5008890783 10403080857 15026672349 45080017047 135240051141