Search a number
-
+
53105301 = 344379193
BaseRepresentation
bin1100101010010…
…1001010010101
310200221000210000
43022211022111
5102043332201
65134121513
71213246644
oct312451225
9120830700
1053105301
1127a81887
1215950299
13b004972
1470a535b
1549ded86
hex32a5295

53105301 has 40 divisors (see below), whose sum is σ = 82628480. Its totient is φ = 33965568.

The previous prime is 53105287. The next prime is 53105333. The reversal of 53105301 is 10350135.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-53105301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53100301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 275061 + ... + 275253.

It is an arithmetic number, because the mean of its divisors is an integer number (2065712).

Almost surely, 253105301 is an apocalyptic number.

It is an amenable number.

53105301 is a deficient number, since it is larger than the sum of its proper divisors (29523179).

53105301 is a wasteful number, since it uses less digits than its factorization.

53105301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 53105301 is about 7287.3384030111. The cubic root of 53105301 is about 375.8771785542.

Adding to 53105301 its reverse (10350135), we get a palindrome (63455436).

The spelling of 53105301 in words is "fifty-three million, one hundred five thousand, three hundred one".

Divisors: 1 3 9 27 43 79 81 129 193 237 387 579 711 1161 1737 2133 3397 3483 5211 6399 8299 10191 15247 15633 24897 30573 45741 74691 91719 137223 224073 275157 411669 655621 672219 1235007 1966863 5900589 17701767 53105301