Search a number
-
+
200013131 is a prime number
BaseRepresentation
bin10111110101111…
…11010101001011
3111221100201102202
423322333111023
5402200410011
631502550415
74646040443
oct1372772513
9457321382
10200013131
11a29a190a
1256b9840b
1332590286
141c7c7123
151285d23b
hexbebf54b

200013131 has 2 divisors, whose sum is σ = 200013132. Its totient is φ = 200013130.

The previous prime is 200013103. The next prime is 200013139. The reversal of 200013131 is 131310002.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200013131 is a prime.

It is a super-2 number, since 2×2000131312 = 80010505144846322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (200013139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100006565 + 100006566.

It is an arithmetic number, because the mean of its divisors is an integer number (100006566).

Almost surely, 2200013131 is an apocalyptic number.

200013131 is a deficient number, since it is larger than the sum of its proper divisors (1).

200013131 is an equidigital number, since it uses as much as digits as its factorization.

200013131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 200013131 is about 14142.5998670683. The cubic root of 200013131 is about 584.8163457881.

Adding to 200013131 its reverse (131310002), we get a palindrome (331323133).

It can be divided in two parts, 20001 and 3131, that added together give a palindrome (23132).

The spelling of 200013131 in words is "two hundred million, thirteen thousand, one hundred thirty-one".