Search a number
-
+
135410301 = 32136118973
BaseRepresentation
bin10000001001000…
…11001001111101
3100102210120000100
420010203021331
5234131112201
621234151313
73232653135
oct1004431175
9312716010
10135410301
116a487844
1239422539
1322091250
1413dabac5
15bd4b886
hex812327d

135410301 has 24 divisors (see below), whose sum is σ = 214102616. Its totient is φ = 81959040.

The previous prime is 135410279. The next prime is 135410323. The reversal of 135410301 is 103014531.

135410301 is a `hidden beast` number, since 1 + 354 + 10 + 301 = 666.

It is an interprime number because it is at equal distance from previous prime (135410279) and next prime (135410323).

It can be written as a sum of positive squares in 4 ways, for example, as 4284900 + 131125401 = 2070^2 + 11451^2 .

It is not a de Polignac number, because 135410301 - 210 = 135409277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135410371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2350 + ... + 16623.

Almost surely, 2135410301 is an apocalyptic number.

It is an amenable number.

135410301 is a deficient number, since it is larger than the sum of its proper divisors (78692315).

135410301 is a wasteful number, since it uses less digits than its factorization.

135410301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19053 (or 19050 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135410301 is about 11636.5931870114. The cubic root of 135410301 is about 513.5119656701.

Adding to 135410301 its reverse (103014531), we get a palindrome (238424832).

The spelling of 135410301 in words is "one hundred thirty-five million, four hundred ten thousand, three hundred one".

Divisors: 1 3 9 13 39 61 117 183 549 793 2379 7137 18973 56919 170757 246649 739947 1157353 2219841 3472059 10416177 15045589 45136767 135410301