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135220013 = 2353110927
BaseRepresentation
bin10000000111101…
…00101100101101
3100102102212222122
420003310230231
5234104020023
621230122325
73231231305
oct1003645455
9312385878
10135220013
116a367885
12393503a5
1322025756
1413d5c605
15bd102c8
hex80f4b2d

135220013 has 8 divisors (see below), whose sum is σ = 143762688. Its totient is φ = 126899344.

The previous prime is 135219977. The next prime is 135220051. The reversal of 135220013 is 310022531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135220013 - 26 = 135219949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135219973 and 135220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135220313) 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 7 ways as a sum of consecutive naturals, for example, 54245 + ... + 56682.

It is an arithmetic number, because the mean of its divisors is an integer number (17970336).

Almost surely, 2135220013 is an apocalyptic number.

It is an amenable number.

135220013 is a deficient number, since it is larger than the sum of its proper divisors (8542675).

135220013 is a wasteful number, since it uses less digits than its factorization.

135220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111003.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 135220013 is about 11628.4140363164. The cubic root of 135220013 is about 513.2713119630.

Adding to 135220013 its reverse (310022531), we get a palindrome (445242544).

The spelling of 135220013 in words is "one hundred thirty-five million, two hundred twenty thousand, thirteen".

Divisors: 1 23 53 1219 110927 2551321 5879131 135220013