Search a number
-
+
101110020197 is a prime number
BaseRepresentation
bin101111000101010100…
…0000111100001100101
3100122222112100012200212
41132022220013201211
53124033131121242
6114241014345205
710206412663664
oct1361250074145
9318875305625
10101110020197
1139975a7476a
121771965b205
1396c478b224
144c7264addb
15296b8ee782
hex178aa07865

101110020197 has 2 divisors, whose sum is σ = 101110020198. Its totient is φ = 101110020196.

The previous prime is 101110020073. The next prime is 101110020223. The reversal of 101110020197 is 791020011101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82583815876 + 18526204321 = 287374^2 + 136111^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110020197 - 216 = 101109954661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110020797) 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, 50555010098 + 50555010099.

It is an arithmetic number, because the mean of its divisors is an integer number (50555010099).

Almost surely, 2101110020197 is an apocalyptic number.

It is an amenable number.

101110020197 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110020197 is an equidigital number, since it uses as much as digits as its factorization.

101110020197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 23.

Adding to 101110020197 its reverse (791020011101), we get a palindrome (892130031298).

The spelling of 101110020197 in words is "one hundred one billion, one hundred ten million, twenty thousand, one hundred ninety-seven".