Search a number
-
+
138164413 is a prime number
BaseRepresentation
bin10000011110000…
…11100010111101
3100121222110221111
420033003202331
5240332230123
621413202021
73265243462
oct1017034275
9317873844
10138164413
1170a98a72
123a330311
13228169ba
14144c7669
15c1e290d
hex83c38bd

138164413 has 2 divisors, whose sum is σ = 138164414. Its totient is φ = 138164412.

The previous prime is 138164347. The next prime is 138164431. The reversal of 138164413 is 314461831.

138164413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (138164431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133333209 + 4831204 = 11547^2 + 2198^2 .

It is a cyclic number.

It is not a de Polignac number, because 138164413 - 217 = 138033341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138164483) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69082206 + 69082207.

It is an arithmetic number, because the mean of its divisors is an integer number (69082207).

Almost surely, 2138164413 is an apocalyptic number.

It is an amenable number.

138164413 is a deficient number, since it is larger than the sum of its proper divisors (1).

138164413 is an equidigital number, since it uses as much as digits as its factorization.

138164413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6912, while the sum is 31.

The square root of 138164413 is about 11754.3359233944. The cubic root of 138164413 is about 516.9700681166.

The spelling of 138164413 in words is "one hundred thirty-eight million, one hundred sixty-four thousand, four hundred thirteen".