Search a number
-
+
1106680801 is a prime number
BaseRepresentation
bin100000111110110…
…1001101111100001
32212010102012122211
41001331221233201
54231302241201
6301452002121
736265426432
oct10175515741
92763365584
101106680801
11518768736
1226a760341
1314837c815
14a6d9b489
1567255651
hex41f69be1

1106680801 has 2 divisors, whose sum is σ = 1106680802. Its totient is φ = 1106680800.

The previous prime is 1106680717. The next prime is 1106680829. The reversal of 1106680801 is 1080866011.

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., 725494225 + 381186576 = 26935^2 + 19524^2 .

It is a cyclic number.

It is not a de Polignac number, because 1106680801 - 217 = 1106549729 is a prime.

It is a super-3 number, since 3×11066808013 (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1106680831) 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, 553340400 + 553340401.

It is an arithmetic number, because the mean of its divisors is an integer number (553340401).

Almost surely, 21106680801 is an apocalyptic number.

It is an amenable number.

1106680801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1106680801 is an equidigital number, since it uses as much as digits as its factorization.

1106680801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 1106680801 is about 33266.8123059604. The cubic root of 1106680801 is about 1034.3657345988.

The spelling of 1106680801 in words is "one billion, one hundred six million, six hundred eighty thousand, eight hundred one".