Search a number
-
+
1101131303141 is a prime number
BaseRepresentation
bin10000000001100000100…
…010100100100011100101
310220021012201210220220002
4100001200202210203211
5121020104103200031
62201504105151045
7142361026434302
oct20014042444345
93807181726802
101101131303141
11394a94a06871
121594a678b485
137cab429910c
143b41b8340a9
151d999e6bccb
hex100608a48e5

1101131303141 has 2 divisors, whose sum is σ = 1101131303142. Its totient is φ = 1101131303140.

The previous prime is 1101131303131. The next prime is 1101131303201. The reversal of 1101131303141 is 1413031311011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1057472872225 + 43658430916 = 1028335^2 + 208946^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101131303141 - 226 = 1101064194277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101131303131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550565651570 + 550565651571.

It is an arithmetic number, because the mean of its divisors is an integer number (550565651571).

Almost surely, 21101131303141 is an apocalyptic number.

It is an amenable number.

1101131303141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101131303141 is an equidigital number, since it uses as much as digits as its factorization.

1101131303141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1101131303141 its reverse (1413031311011), we get a palindrome (2514162614152).

The spelling of 1101131303141 in words is "one trillion, one hundred one billion, one hundred thirty-one million, three hundred three thousand, one hundred forty-one".