Search a number
-
+
138018301313 is a prime number
BaseRepresentation
bin1000000010001010001…
…0000010010110000001
3111012020201210011012112
42000202202002112001
54230130141120223
6143223231105105
712654136130054
oct2004242022601
9435221704175
10138018301313
1153595807632
12228ba072195
1310027154b19
146974378a9b
1538cbc76778
hex2022882581

138018301313 has 2 divisors, whose sum is σ = 138018301314. Its totient is φ = 138018301312.

The previous prime is 138018301193. The next prime is 138018301363. The reversal of 138018301313 is 313103810831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88713431104 + 49304870209 = 297848^2 + 222047^2 .

It is a cyclic number.

It is not a de Polignac number, because 138018301313 - 212 = 138018297217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138018301313.

It is not a weakly prime, because it can be changed into another prime (138018301363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69009150656 + 69009150657.

It is an arithmetic number, because the mean of its divisors is an integer number (69009150657).

Almost surely, 2138018301313 is an apocalyptic number.

It is an amenable number.

138018301313 is a deficient number, since it is larger than the sum of its proper divisors (1).

138018301313 is an equidigital number, since it uses as much as digits as its factorization.

138018301313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 138018301313 in words is "one hundred thirty-eight billion, eighteen million, three hundred one thousand, three hundred thirteen".