Search a number
-
+
1320242133 = 37213616599
BaseRepresentation
bin100111010110001…
…0100101111010101
310102000021020201210
41032230110233111
510200440222013
6335001212033
744500605300
oct11654245725
93360236653
101320242133
11618273501
1230a191019
131806a4682
14c74adb37
157ad8ccc3
hex4eb14bd5

1320242133 has 24 divisors (see below), whose sum is σ = 2049537600. Its totient is φ = 753755520.

The previous prime is 1320242087. The next prime is 1320242191. The reversal of 1320242133 is 3312420231.

It is not a de Polignac number, because 1320242133 - 26 = 1320242069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320242533) 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 23 ways as a sum of consecutive naturals, for example, 196768 + ... + 203366.

It is an arithmetic number, because the mean of its divisors is an integer number (85397400).

Almost surely, 21320242133 is an apocalyptic number.

It is an amenable number.

1320242133 is a deficient number, since it is larger than the sum of its proper divisors (729295467).

1320242133 is a wasteful number, since it uses less digits than its factorization.

1320242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1320242133 is about 36335.1363421138. The cubic root of 1320242133 is about 1097.0283797527.

Adding to 1320242133 its reverse (3312420231), we get a palindrome (4632662364).

The spelling of 1320242133 in words is "one billion, three hundred twenty million, two hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 21 49 147 1361 4083 6599 9527 19797 28581 46193 66689 138579 200067 323351 970053 8981239 26943717 62868673 188606019 440080711 1320242133