Search a number
-
+
138257321 is a prime number
BaseRepresentation
bin10000011110110…
…10001110101001
3100122011012101112
420033122032221
5240343213241
621415200105
73266111366
oct1017321651
9318135345
10138257321
1171051854
123a376035
132284a087
141450d46d
15c2101eb
hex83da3a9

138257321 has 2 divisors, whose sum is σ = 138257322. Its totient is φ = 138257320.

The previous prime is 138257263. The next prime is 138257351. The reversal of 138257321 is 123752831.

138257321 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., 79566400 + 58690921 = 8920^2 + 7661^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-138257321 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (138257351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69128660 + 69128661.

It is an arithmetic number, because the mean of its divisors is an integer number (69128661).

Almost surely, 2138257321 is an apocalyptic number.

It is an amenable number.

138257321 is a deficient number, since it is larger than the sum of its proper divisors (1).

138257321 is an equidigital number, since it uses as much as digits as its factorization.

138257321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 32.

The square root of 138257321 is about 11758.2873327709. The cubic root of 138257321 is about 517.0859201706.

The spelling of 138257321 in words is "one hundred thirty-eight million, two hundred fifty-seven thousand, three hundred twenty-one".