Search a number
-
+
1045506221 is a prime number
BaseRepresentation
bin111110010100010…
…010100010101101
32200212022012220122
4332110102202231
54120122144341
6251424454325
734623441044
oct7624224255
92625265818
101045506221
11497185331
1225217a3a5
131387b1046
149cbd555b
1561bbe94b
hex3e5128ad

1045506221 has 2 divisors, whose sum is σ = 1045506222. Its totient is φ = 1045506220.

The previous prime is 1045506197. The next prime is 1045506223. The reversal of 1045506221 is 1226055401.

1045506221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 918696100 + 126810121 = 30310^2 + 11261^2 .

It is an emirp because it is prime and its reverse (1226055401) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1045506221 is a prime.

Together with 1045506223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1045506223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 522753110 + 522753111.

It is an arithmetic number, because the mean of its divisors is an integer number (522753111).

Almost surely, 21045506221 is an apocalyptic number.

It is an amenable number.

1045506221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1045506221 is an equidigital number, since it uses as much as digits as its factorization.

1045506221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1045506221 is about 32334.2886267813. The cubic root of 1045506221 is about 1014.9442958421.

The spelling of 1045506221 in words is "one billion, forty-five million, five hundred six thousand, two hundred twenty-one".