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442312033 is a prime number
BaseRepresentation
bin11010010111010…
…010010101100001
31010211021210001011
4122113102111201
51401212441113
6111520140521
713650406312
oct3227222541
91124253034
10442312033
11207745639
12104167741
13708375c7
1442a5a609
1528c7063d
hex1a5d2561

442312033 has 2 divisors, whose sum is σ = 442312034. Its totient is φ = 442312032.

The previous prime is 442312009. The next prime is 442312049. The reversal of 442312033 is 330213244.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413227584 + 29084449 = 20328^2 + 5393^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442312033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442311995 and 442312013.

It is not a weakly prime, because it can be changed into another prime (442312093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221156016 + 221156017.

It is an arithmetic number, because the mean of its divisors is an integer number (221156017).

Almost surely, 2442312033 is an apocalyptic number.

It is an amenable number.

442312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

442312033 is an equidigital number, since it uses as much as digits as its factorization.

442312033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 442312033 is about 21031.2156805069. The cubic root of 442312033 is about 761.9203703160.

Adding to 442312033 its reverse (330213244), we get a palindrome (772525277).

It can be divided in two parts, 44231 and 2033, that added together give a palindrome (46264).

The spelling of 442312033 in words is "four hundred forty-two million, three hundred twelve thousand, thirty-three".