Search a number
-
+
138337333 is a prime number
BaseRepresentation
bin10000011111011…
…01110000110101
3100122022021010221
420033231300311
5240403243313
621421014341
73266563561
oct1017556065
9318267127
10138337333
11710a6982
123a3b43b1
1322877614
14145306a1
15c228c8d
hex83edc35

138337333 has 2 divisors, whose sum is σ = 138337334. Its totient is φ = 138337332.

The previous prime is 138337319. The next prime is 138337357. The reversal of 138337333 is 333733831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113167044 + 25170289 = 10638^2 + 5017^2 .

It is an emirp because it is prime and its reverse (333733831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138337333 - 25 = 138337301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138337363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69168666 + 69168667.

It is an arithmetic number, because the mean of its divisors is an integer number (69168667).

Almost surely, 2138337333 is an apocalyptic number.

It is an amenable number.

138337333 is a deficient number, since it is larger than the sum of its proper divisors (1).

138337333 is an equidigital number, since it uses as much as digits as its factorization.

138337333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 34.

The square root of 138337333 is about 11761.6892069124. The cubic root of 138337333 is about 517.1856499108.

The spelling of 138337333 in words is "one hundred thirty-eight million, three hundred thirty-seven thousand, three hundred thirty-three".