Search a number
-
+
65053131 = 311131923347
BaseRepresentation
bin1111100000101…
…0000111001011
311112102001010020
43320022013023
5113123200011
610242151523
71416641163
oct370120713
9145361106
1065053131
11337a2420
12199525a3
1310628ca0
1488d55a3
155aa0006
hex3e0a1cb

65053131 has 64 divisors (see below), whose sum is σ = 112250880. Its totient is φ = 32883840.

The previous prime is 65053091. The next prime is 65053139. The reversal of 65053131 is 13135056.

65053131 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 65053131 - 211 = 65051083 is a prime.

It is a super-2 number, since 2×650531312 = 8463819705806322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65053139) 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 63 ways as a sum of consecutive naturals, for example, 187300 + ... + 187646.

It is an arithmetic number, because the mean of its divisors is an integer number (1753920).

Almost surely, 265053131 is an apocalyptic number.

65053131 is a deficient number, since it is larger than the sum of its proper divisors (47197749).

65053131 is a wasteful number, since it uses less digits than its factorization.

65053131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 65053131 is about 8065.5521199729. The cubic root of 65053131 is about 402.1820973979.

Adding to 65053131 its reverse (13135056), we get a palindrome (78188187).

The spelling of 65053131 in words is "sixty-five million, fifty-three thousand, one hundred thirty-one".

Divisors: 1 3 11 13 19 23 33 39 57 69 143 209 247 253 299 347 429 437 627 741 759 897 1041 1311 2717 3289 3817 4511 4807 5681 6593 7981 8151 9867 11451 13533 14421 17043 19779 23943 49621 62491 72523 85709 87791 103753 148863 151639 187473 217569 257127 263373 311259 454917 942799 1141283 1668029 1971307 2828397 3423849 5004087 5913921 21684377 65053131