Search a number
-
+
138686431097 is a prime number
BaseRepresentation
bin1000000100101001011…
…0101111111101111001
3111020222021222122222002
42001022112233331321
54233012211243342
6143413415310345
713006531133234
oct2011226577571
9436867878862
10138686431097
11538a8969405
1222a6597b3b5
13101026b5ba6
1469d8db841b
15391a750d32
hex204a5aff79

138686431097 has 2 divisors, whose sum is σ = 138686431098. Its totient is φ = 138686431096.

The previous prime is 138686431043. The next prime is 138686431139. The reversal of 138686431097 is 790134686831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116728822336 + 21957608761 = 341656^2 + 148181^2 .

It is a cyclic number.

It is not a de Polignac number, because 138686431097 - 212 = 138686427001 is a prime.

It is not a weakly prime, because it can be changed into another prime (138686431027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69343215548 + 69343215549.

It is an arithmetic number, because the mean of its divisors is an integer number (69343215549).

Almost surely, 2138686431097 is an apocalyptic number.

It is an amenable number.

138686431097 is a deficient number, since it is larger than the sum of its proper divisors (1).

138686431097 is an equidigital number, since it uses as much as digits as its factorization.

138686431097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 138686431097 in words is "one hundred thirty-eight billion, six hundred eighty-six million, four hundred thirty-one thousand, ninety-seven".