Search a number
-
+
138000000001 is a prime number
BaseRepresentation
bin1000000010000101110…
…0001110010000000001
3111012012110100100112011
42000201130032100001
54230111000000001
6143221334532521
712653524434343
oct2004134162001
9435173310464
10138000000001
1153586447586
12228b3b07141
1310023417946
146971b73293
1538ca35dd51
hex202170e401

138000000001 has 2 divisors, whose sum is σ = 138000000002. Its totient is φ = 138000000000.

The previous prime is 137999999989. The next prime is 138000000113. The reversal of 138000000001 is 100000000831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124484774976 + 13515225025 = 352824^2 + 116255^2 .

It is a cyclic number.

It is not a de Polignac number, because 138000000001 - 215 = 137999967233 is a prime.

It is not a weakly prime, because it can be changed into another prime (138000004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69000000000 + 69000000001.

It is an arithmetic number, because the mean of its divisors is an integer number (69000000001).

Almost surely, 2138000000001 is an apocalyptic number.

It is an amenable number.

138000000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

138000000001 is an equidigital number, since it uses as much as digits as its factorization.

138000000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 138000000001 its reverse (100000000831), we get a palindrome (238000000832).

The spelling of 138000000001 in words is "one hundred thirty-eight billion, one", and thus it is an aban number.