Search a number
-
+
2233341244097 is a prime number
BaseRepresentation
bin100000011111111101100…
…000101111001011000001
321220111122101120020001222
4200133331200233023001
5243042340324302342
64425552141404425
7320232164232245
oct40377540571301
97814571506058
102233341244097
11791177a00177
12300a05569715
131327ac23b842
147a146a50425
153d163578ed2
hex207fd82f2c1

2233341244097 has 2 divisors, whose sum is σ = 2233341244098. Its totient is φ = 2233341244096.

The previous prime is 2233341244091. The next prime is 2233341244157. The reversal of 2233341244097 is 7904421433322.

2233341244097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1793989681201 + 439351562896 = 1339399^2 + 662836^2 .

It is a cyclic number.

It is not a de Polignac number, because 2233341244097 - 214 = 2233341227713 is a prime.

It is a super-2 number, since 2×22333412440972 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2233341244091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116670622048 + 1116670622049.

It is an arithmetic number, because the mean of its divisors is an integer number (1116670622049).

Almost surely, 22233341244097 is an apocalyptic number.

It is an amenable number.

2233341244097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2233341244097 is an equidigital number, since it uses as much as digits as its factorization.

2233341244097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 44.

The spelling of 2233341244097 in words is "two trillion, two hundred thirty-three billion, three hundred forty-one million, two hundred forty-four thousand, ninety-seven".