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135666531 = 32711213372
BaseRepresentation
bin10000001011000…
…01101101100011
3100110021120111100
420011201231203
5234212312111
621243445443
73235101150
oct1005415543
9313246440
10135666531
116a642300
1239526883
1322150a70
1414037227
15bd9c756
hex8161b63

135666531 has 108 divisors (see below), whose sum is σ = 272462736. Its totient is φ = 63296640.

The previous prime is 135666529. The next prime is 135666539.

135666531 = 2263 + 2273 + ... + 2363.

135666531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135666531 - 21 = 135666529 is a prime.

It is a super-2 number, since 2×1356665312 = 36810815267147922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135666539) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3666645 + ... + 3666681.

Almost surely, 2135666531 is an apocalyptic number.

135666531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135666531 is an abundant number, since it is smaller than the sum of its proper divisors (136796205).

135666531 is a wasteful number, since it uses less digits than its factorization.

135666531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 71 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 135666531 is about 11647.5976493009. The cubic root of 135666531 is about 513.8356590791.

It can be divided in two parts, 135 and 666531, that added together give a palindrome (666666).

The spelling of 135666531 in words is "one hundred thirty-five million, six hundred sixty-six thousand, five hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 121 143 231 259 273 333 363 407 429 481 693 777 819 847 1001 1089 1221 1287 1369 1443 1573 2331 2541 2849 3003 3367 3663 4107 4329 4477 4719 5291 7623 8547 9009 9583 10101 11011 12321 13431 14157 15059 15873 17797 25641 28749 30303 31339 33033 37037 40293 45177 47619 53391 58201 86247 94017 99099 105413 111111 124579 135531 160173 165649 174603 195767 282051 316239 333333 373737 407407 496947 523809 587301 948717 1121211 1159543 1222221 1370369 1490841 1761903 2153437 3478629 3666663 4111107 6460311 10435887 12333321 15074059 19380933 45222177 135666531