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135315411 = 37211671249
BaseRepresentation
bin10000001000010…
…11111111010011
3100102121201211220
420010023333103
5234120043121
621232140123
73232106400
oct1004137723
9312551756
10135315411
116a422520
1239397643
1322059cba
1413d852a7
15bd2d6c6
hex810bfd3

135315411 has 48 divisors (see below), whose sum is σ = 232560000. Its totient is φ = 69189120.

The previous prime is 135315409. The next prime is 135315431. The reversal of 135315411 is 114513531.

135315411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135315411 - 21 = 135315409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135315431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107715 + ... + 108963.

It is an arithmetic number, because the mean of its divisors is an integer number (4845000).

Almost surely, 2135315411 is an apocalyptic number.

135315411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135315411 is a deficient number, since it is larger than the sum of its proper divisors (97244589).

135315411 is a wasteful number, since it uses less digits than its factorization.

135315411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1337 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 135315411 is about 11632.5152482170. The cubic root of 135315411 is about 513.3919882472.

Adding to 135315411 its reverse (114513531), we get a palindrome (249828942).

The spelling of 135315411 in words is "one hundred thirty-five million, three hundred fifteen thousand, four hundred eleven".

Divisors: 1 3 7 11 21 33 49 67 77 147 201 231 469 539 737 1249 1407 1617 2211 3283 3747 5159 8743 9849 13739 15477 26229 36113 41217 61201 83683 96173 108339 183603 251049 288519 585781 673211 920513 1757343 2019633 2761539 4100467 6443591 12301401 19330773 45105137 135315411