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53101305 = 335478369
BaseRepresentation
bin1100101010010…
…0001011111001
310200220211022000
43022210023321
5102043220210
65134051213
71213232205
oct312441371
9120824260
1053101305
1127a79884
1215949b09
13b002bba
1470a3b05
1549ddac0
hex32a42f9

53101305 has 32 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 27714816.

The previous prime is 53101267. The next prime is 53101313. The reversal of 53101305 is 50310135.

It is a happy number.

53101305 is a `hidden beast` number, since 531 + 0 + 130 + 5 = 666.

53101305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53101305 - 26 = 53101241 is a prime.

It is a super-3 number, since 3×531013053 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2161 + ... + 10529.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 253101305 is an apocalyptic number.

It is an amenable number.

53101305 is a deficient number, since it is larger than the sum of its proper divisors (43321095).

53101305 is a wasteful number, since it uses less digits than its factorization.

53101305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430 (or 8424 counting only the distinct ones).

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

The square root of 53101305 is about 7287.0642236775. The cubic root of 53101305 is about 375.8677504755.

It can be divided in two parts, 5310130 and 5, that added together give a palindrome (5310135).

The spelling of 53101305 in words is "fifty-three million, one hundred one thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 47 135 141 235 423 705 1269 2115 6345 8369 25107 41845 75321 125535 225963 376605 393343 1129815 1180029 1966715 3540087 5900145 10620261 17700435 53101305