Search a number
-
+
4333107334313 is a prime number
BaseRepresentation
bin111111000011100001010…
…100101100110010101001
3120100020111200220120101102
4333003201110230302221
51031443200434144223
613114334012131145
7625025303430152
oct77034124546251
916306450816342
104333107334313
11142072a14318a
1259b950a66ab5
132557c19b4894
1410da1b472929
1577aa9e89928
hex3f0e152cca9

4333107334313 has 2 divisors, whose sum is σ = 4333107334314. Its totient is φ = 4333107334312.

The previous prime is 4333107334279. The next prime is 4333107334319. The reversal of 4333107334313 is 3134337013334.

4333107334313 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., 2500202927209 + 1832904407104 = 1581203^2 + 1353848^2 .

It is a cyclic number.

It is not a de Polignac number, because 4333107334313 - 28 = 4333107334057 is a prime.

It is a super-2 number, since 2×43331073343132 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4333107334319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2166553667156 + 2166553667157.

It is an arithmetic number, because the mean of its divisors is an integer number (2166553667157).

Almost surely, 24333107334313 is an apocalyptic number.

It is an amenable number.

4333107334313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4333107334313 is an equidigital number, since it uses as much as digits as its factorization.

4333107334313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 244944, while the sum is 38.

The spelling of 4333107334313 in words is "four trillion, three hundred thirty-three billion, one hundred seven million, three hundred thirty-four thousand, three hundred thirteen".