Search a number
-
+
138031319 is a prime number
BaseRepresentation
bin10000011101000…
…11000011010111
3100121201201101002
420032203003113
5240314000234
621410253515
73264150446
oct1016430327
9317651332
10138031319
1170a07a78
123a28729b
132279b24a
1414490d5d
15c1b827e
hex83a30d7

138031319 has 2 divisors, whose sum is σ = 138031320. Its totient is φ = 138031318.

The previous prime is 138031277. The next prime is 138031351. The reversal of 138031319 is 913130831.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 138031319 - 220 = 136982743 is a prime.

It is a super-2 number, since 2×1380313192 = 38105290049759522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 138031291 and 138031300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138036319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69015659 + 69015660.

It is an arithmetic number, because the mean of its divisors is an integer number (69015660).

Almost surely, 2138031319 is an apocalyptic number.

138031319 is a deficient number, since it is larger than the sum of its proper divisors (1).

138031319 is an equidigital number, since it uses as much as digits as its factorization.

138031319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 138031319 is about 11748.6730740114. The cubic root of 138031319 is about 516.8040154211.

The spelling of 138031319 in words is "one hundred thirty-eight million, thirty-one thousand, three hundred nineteen".