Search a number
-
+
2011531831 is a prime number
BaseRepresentation
bin111011111100101…
…1000101000110111
312012012001101220221
41313321120220313
513104423004311
6531334035211
7100563511201
oct16771305067
95165041827
102011531831
11942503701
124817a8b07
1326098422a
1415121b771
15bb8de671
hex77e58a37

2011531831 has 2 divisors, whose sum is σ = 2011531832. Its totient is φ = 2011531830.

The previous prime is 2011531829. The next prime is 2011531849. The reversal of 2011531831 is 1381351102.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2011531831 - 21 = 2011531829 is a prime.

It is a super-2 number, since 2×20115318312 = 8092520614252425122, which contains 22 as substring.

Together with 2011531829, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2011531796 and 2011531805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011531811) 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, 1005765915 + 1005765916.

It is an arithmetic number, because the mean of its divisors is an integer number (1005765916).

Almost surely, 22011531831 is an apocalyptic number.

2011531831 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011531831 is an equidigital number, since it uses as much as digits as its factorization.

2011531831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 2011531831 is about 44850.1040244056. The cubic root of 2011531831 is about 1262.3379433986.

Adding to 2011531831 its reverse (1381351102), we get a palindrome (3392882933).

The spelling of 2011531831 in words is "two billion, eleven million, five hundred thirty-one thousand, eight hundred thirty-one".