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135201241 = 721072241
BaseRepresentation
bin10000000111100…
…00000111011001
3100102101221020101
420003300013121
5234102414431
621225455401
73231122500
oct1003600731
9312357211
10135201241
116a35476a
1239341561
132201a046
1413d55837
15bd09961
hex80f01d9

135201241 has 18 divisors (see below), whose sum is σ = 159417258. Its totient is φ = 114327360.

The previous prime is 135201239. The next prime is 135201271. The reversal of 135201241 is 142102531.

It can be written as a sum of positive squares in only one way, i.e., 126225225 + 8976016 = 11235^2 + 2996^2 .

It is not a de Polignac number, because 135201241 - 21 = 135201239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 560881 + ... + 561121.

Almost surely, 2135201241 is an apocalyptic number.

It is an amenable number.

135201241 is a deficient number, since it is larger than the sum of its proper divisors (24216017).

135201241 is an equidigital number, since it uses as much as digits as its factorization.

135201241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 355 counting only the distinct ones).

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

The square root of 135201241 is about 11627.6068474988. The cubic root of 135201241 is about 513.2475591305.

Adding to 135201241 its reverse (142102531), we get a palindrome (277303772).

The spelling of 135201241 in words is "one hundred thirty-five million, two hundred one thousand, two hundred forty-one".

Divisors: 1 7 49 107 241 749 1687 5243 11449 11809 25787 80143 180509 561001 1263563 2759209 19314463 135201241