Search a number
-
+
135382611 = 37131731941
BaseRepresentation
bin10000001000111…
…00011001010011
3100102202011000210
420010130121103
5234124220421
621233415203
73232506330
oct1004343123
9312664023
10135382611
116a468a61
123940a503
1322081770
1413da1987
15bd43576
hex811c653

135382611 has 64 divisors (see below), whose sum is σ = 243081216. Its totient is φ = 64972800.

The previous prime is 135382603. The next prime is 135382613. The reversal of 135382611 is 116283531.

It is not a de Polignac number, because 135382611 - 23 = 135382603 is a prime.

It is a super-2 number, since 2×1353826112 = 36656902722354642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135382613) 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 63 ways as a sum of consecutive naturals, for example, 143401 + ... + 144341.

It is an arithmetic number, because the mean of its divisors is an integer number (3798144).

Almost surely, 2135382611 is an apocalyptic number.

135382611 is a deficient number, since it is larger than the sum of its proper divisors (107698605).

135382611 is a wasteful number, since it uses less digits than its factorization.

135382611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012.

The product of its digits is 4320, while the sum is 30.

The square root of 135382611 is about 11635.4033449640. The cubic root of 135382611 is about 513.4769606629.

The spelling of 135382611 in words is "one hundred thirty-five million, three hundred eighty-two thousand, six hundred eleven".

Divisors: 1 3 7 13 17 21 31 39 51 91 93 119 217 221 273 357 403 527 651 663 941 1209 1547 1581 2821 2823 3689 4641 6587 6851 8463 11067 12233 15997 19761 20553 29171 36699 47957 47991 85631 87513 111979 143871 204197 207961 256893 335937 379223 495907 612591 623883 1137669 1455727 1487721 2654561 3471349 4367181 6446791 7963683 10414047 19340373 45127537 135382611