Search a number
-
+
105016121027 is a prime number
BaseRepresentation
bin110000111001101110…
…0101101011011000011
3101001001202100200200222
41201303130231123003
53210033111333102
6120124351533255
710405253205026
oct1416334553303
9331052320628
10105016121027
114059a954074
121842982a22b
139b97ac3cac
14512331b1bd
152ae97c7aa2
hex187372d6c3

105016121027 has 2 divisors, whose sum is σ = 105016121028. Its totient is φ = 105016121026.

The previous prime is 105016120987. The next prime is 105016121033. The reversal of 105016121027 is 720121610501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105016121027 - 216 = 105016055491 is a prime.

It is a super-2 number, since 2×1050161210272 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105016120987 and 105016121005.

It is not a weakly prime, because it can be changed into another prime (105016121047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52508060513 + 52508060514.

It is an arithmetic number, because the mean of its divisors is an integer number (52508060514).

Almost surely, 2105016121027 is an apocalyptic number.

105016121027 is a deficient number, since it is larger than the sum of its proper divisors (1).

105016121027 is an equidigital number, since it uses as much as digits as its factorization.

105016121027 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 105016121027 its reverse (720121610501), we get a palindrome (825137731528).

The spelling of 105016121027 in words is "one hundred five billion, sixteen million, one hundred twenty-one thousand, twenty-seven".