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135001441 = 1953791697
BaseRepresentation
bin10000000101111…
…11010101100001
3100102000210011101
420002333111201
5234030021231
621221314401
73226331131
oct1002772541
9312023141
10135001441
116a228643
1239265a01
1321c7a113
1413d02ac1
15bcba661
hex80bf561

135001441 has 16 divisors (see below), whose sum is σ = 146707200. Its totient is φ = 123821568.

The previous prime is 135001423. The next prime is 135001453. The reversal of 135001441 is 144100531.

It is not a de Polignac number, because 135001441 - 213 = 134993249 is a prime.

It is a super-3 number, since 3×1350014413 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135001481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78705 + ... + 80401.

It is an arithmetic number, because the mean of its divisors is an integer number (9169200).

Almost surely, 2135001441 is an apocalyptic number.

It is an amenable number.

135001441 is a deficient number, since it is larger than the sum of its proper divisors (11705759).

135001441 is a wasteful number, since it uses less digits than its factorization.

135001441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 135001441 is about 11619.0120492235. The cubic root of 135001441 is about 512.9946092375.

Adding to 135001441 its reverse (144100531), we get a palindrome (279101972).

It can be divided in two parts, 13500 and 1441, that added together give a palindrome (14941).

The spelling of 135001441 in words is "one hundred thirty-five million, one thousand, four hundred forty-one".

Divisors: 1 19 53 79 1007 1501 1697 4187 32243 79553 89941 134063 1708879 2547197 7105339 135001441