Search a number
-
+
20313137 = 132953881
BaseRepresentation
bin100110101111…
…1010000110001
31102020000101102
41031133100301
520200010022
62003214145
7334441655
oct115372061
942200342
1020313137
1110514619
126977355
134292b10
1429aaa65
151bb3a92
hex135f431

20313137 has 8 divisors (see below), whose sum is σ = 22630440. Its totient is φ = 18103680.

The previous prime is 20313133. The next prime is 20313143. The reversal of 20313137 is 73131302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1032256 + 19280881 = 1016^2 + 4391^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20313137 - 22 = 20313133 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20313133) 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 7 ways as a sum of consecutive naturals, for example, 26564 + ... + 27317.

It is an arithmetic number, because the mean of its divisors is an integer number (2828805).

Almost surely, 220313137 is an apocalyptic number.

It is an amenable number.

20313137 is a deficient number, since it is larger than the sum of its proper divisors (2317303).

20313137 is a wasteful number, since it uses less digits than its factorization.

20313137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53923.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 20313137 is about 4507.0097625810. The cubic root of 20313137 is about 272.8510729089.

Adding to 20313137 its reverse (73131302), we get a palindrome (93444439).

The spelling of 20313137 in words is "twenty million, three hundred thirteen thousand, one hundred thirty-seven".

Divisors: 1 13 29 377 53881 700453 1562549 20313137