Search a number
-
+
1106054034049 is a prime number
BaseRepresentation
bin10000000110000101111…
…101010011001010000001
310220201220210210120012001
4100012011331103022001
5121110144313042144
62204040400304001
7142624023111406
oct20060575231201
93821823716161
101106054034049
11397090738418
1215a43b312001
13803ba112643
143b7675402ad
151db8720dbd4
hex10185f53281

1106054034049 has 2 divisors, whose sum is σ = 1106054034050. Its totient is φ = 1106054034048.

The previous prime is 1106054034031. The next prime is 1106054034053. The reversal of 1106054034049 is 9404304506011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1082157511824 + 23896522225 = 1040268^2 + 154585^2 .

It is a cyclic number.

It is not a de Polignac number, because 1106054034049 - 225 = 1106020479617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1106054033999 and 1106054034017.

It is not a weakly prime, because it can be changed into another prime (1106054034089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 553027017024 + 553027017025.

It is an arithmetic number, because the mean of its divisors is an integer number (553027017025).

Almost surely, 21106054034049 is an apocalyptic number.

It is an amenable number.

1106054034049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1106054034049 is an equidigital number, since it uses as much as digits as its factorization.

1106054034049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 1106054034049 in words is "one trillion, one hundred six billion, fifty-four million, thirty-four thousand, forty-nine".