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135007103 = 72111913183
BaseRepresentation
bin10000000110000…
…00101101111111
3100102001001221002
420003000231333
5234030211403
621221400515
73226353500
oct1003005577
9312031832
10135007103
116a231920
123926913b
1321c7c87a
1413d04ba7
15bcbc188
hex80c0b7f

135007103 has 24 divisors (see below), whose sum is σ = 180357120. Its totient is φ = 99655920.

The previous prime is 135007063. The next prime is 135007109. The reversal of 135007103 is 301700531.

It is a happy number.

It is not a de Polignac number, because 135007103 - 218 = 134744959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135007109) 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 23 ways as a sum of consecutive naturals, for example, 3650 + ... + 16832.

It is an arithmetic number, because the mean of its divisors is an integer number (7514880).

Almost surely, 2135007103 is an apocalyptic number.

135007103 is a deficient number, since it is larger than the sum of its proper divisors (45350017).

135007103 is a wasteful number, since it uses less digits than its factorization.

135007103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13227 (or 13220 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 135007103 is about 11619.2556990540. The cubic root of 135007103 is about 513.0017808520.

Adding to 135007103 its reverse (301700531), we get a palindrome (436707634).

The spelling of 135007103 in words is "one hundred thirty-five million, seven thousand, one hundred three".

Divisors: 1 7 11 19 49 77 133 209 539 931 1463 10241 13183 92281 145013 250477 645967 1015091 1753339 2755247 7105637 12273373 19286729 135007103