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138040831 is a prime number
BaseRepresentation
bin10000011101001…
…01010111111111
3100121202012102101
420032211113333
5240314301311
621410405531
73264220255
oct1016452777
9317665371
10138040831
1170a14135
123a2908a7
13227a2686
14144945d5
15c1baec1
hex83a55ff

138040831 has 2 divisors, whose sum is σ = 138040832. Its totient is φ = 138040830.

The previous prime is 138040829. The next prime is 138040843.

138040831 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 138040831 - 21 = 138040829 is a prime.

It is a super-2 number, since 2×1380408312 = 38110542046341122, which contains 22 as substring.

Together with 138040829, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 138040831.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138040801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69020415 + 69020416.

It is an arithmetic number, because the mean of its divisors is an integer number (69020416).

Almost surely, 2138040831 is an apocalyptic number.

138040831 is a deficient number, since it is larger than the sum of its proper divisors (1).

138040831 is an equidigital number, since it uses as much as digits as its factorization.

138040831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 138040831 is about 11749.0778787103. The cubic root of 138040831 is about 516.8158864634.

The spelling of 138040831 in words is "one hundred thirty-eight million, forty thousand, eight hundred thirty-one".