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135325040301 = 32115232613613
BaseRepresentation
bin111111000001000000…
…0000011111010101101
3110221022000221022122200
41332002000003322231
54204121202242201
6142100101132113
712530323602123
oct1760200037255
9427260838580
10135325040301
1152433503790
12222880ba039
13c9b818a859
14679a7bb913
1537c05c3386
hex1f82003ead

135325040301 has 24 divisors (see below), whose sum is σ = 213647262816. Its totient is φ = 81858327840.

The previous prime is 135325040297. The next prime is 135325040369. The reversal of 135325040301 is 103040523531.

135325040301 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 250 + 403 + 0 + 1 = 666.

It is not a de Polignac number, because 135325040301 - 22 = 135325040297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135325040371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255030 + ... + 1358583.

It is an arithmetic number, because the mean of its divisors is an integer number (8901969284).

Almost surely, 2135325040301 is an apocalyptic number.

135325040301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135325040301 is a deficient number, since it is larger than the sum of its proper divisors (78322222515).

135325040301 is a wasteful number, since it uses less digits than its factorization.

135325040301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614153 (or 2614150 counting only the distinct ones).

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

Adding to 135325040301 its reverse (103040523531), we get a palindrome (238365563832).

The spelling of 135325040301 in words is "one hundred thirty-five billion, three hundred twenty-five million, forty thousand, three hundred one".

Divisors: 1 3 9 11 33 99 523 1569 4707 5753 17259 51777 2613613 7840839 23522517 28749743 86249229 258747687 1366919599 4100758797 12302276391 15036115589 45108346767 135325040301