Search a number
-
+
1284988133 = 111337242863
BaseRepresentation
bin100110010010111…
…0101110011100101
310022112221011100002
41030211311303211
510112424110013
6331301431045
743562135042
oct11445656345
93275834302
101284988133
115aa384670
122ba40b485
131762b0110
14c29341c9
1577c27358
hex4c975ce5

1284988133 has 16 divisors (see below), whose sum is σ = 1550443776. Its totient is φ = 1049163840.

The previous prime is 1284988123. The next prime is 1284988171. The reversal of 1284988133 is 3318894821.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1284988133 - 214 = 1284971749 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284988123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116141 + ... + 126722.

It is an arithmetic number, because the mean of its divisors is an integer number (96902736).

Almost surely, 21284988133 is an apocalyptic number.

1284988133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1284988133 is a deficient number, since it is larger than the sum of its proper divisors (265455643).

1284988133 is a wasteful number, since it uses less digits than its factorization.

1284988133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242924.

The product of its digits is 331776, while the sum is 47.

The square root of 1284988133 is about 35846.7311340937. The cubic root of 1284988133 is about 1087.1756222489.

It can be divided in two parts, 128498 and 8133, that added together give a palindrome (136631).

The spelling of 1284988133 in words is "one billion, two hundred eighty-four million, nine hundred eighty-eight thousand, one hundred thirty-three".

Divisors: 1 11 13 37 143 407 481 5291 242863 2671493 3157219 8985931 34729409 98845241 116817103 1284988133