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2042131033 is a prime number
BaseRepresentation
bin111100110111000…
…0111001001011001
312021022122000010201
41321232013021121
513140241143113
6534345542201
7101414553535
oct17156071131
95238560121
102042131033
119588032a8
1248baa4961
13267108b77
14155304bc5
15be435cdd
hex79b87259

2042131033 has 2 divisors, whose sum is σ = 2042131034. Its totient is φ = 2042131032.

The previous prime is 2042131031. The next prime is 2042131043. The reversal of 2042131033 is 3301312402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2015381449 + 26749584 = 44893^2 + 5172^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042131033 - 21 = 2042131031 is a prime.

Together with 2042131031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2042131033.

It is not a weakly prime, because it can be changed into another prime (2042131031) 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 as a sum of consecutive naturals, namely, 1021065516 + 1021065517.

It is an arithmetic number, because the mean of its divisors is an integer number (1021065517).

Almost surely, 22042131033 is an apocalyptic number.

It is an amenable number.

2042131033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042131033 is an equidigital number, since it uses as much as digits as its factorization.

2042131033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2042131033 is about 45189.9439366769. The cubic root of 2042131033 is about 1268.7066074671.

Adding to 2042131033 its reverse (3301312402), we get a palindrome (5343443435).

The spelling of 2042131033 in words is "two billion, forty-two million, one hundred thirty-one thousand, thirty-three".